Least mutual multiple calculator

What is LCM?

The least common multiple (too called the lowest common multiple or smallest common multiple or LCM) of one or more integer numbers is the smallest positive integer divisible by all these numbers.

One way to notice the least common multiple of two numbers is outset to list the prime number factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the aforementioned factor occurs more than in one case in both numbers, y'all multiply the factor by the greatest number of times information technology occurs.

For three or more numbers, proceed similarly, multiple the largest found powers of prime number factors of given numbers.

Questions and word issues to LCM

  • Three buses
    Three public send buses depart together from the charabanc station in the morning. The first bus returns to the station afterwards 18 minutes, the second later 12 minutes, and a 3rd subsequently 24 minutes. How long will again together at the station? Please express
  • Dressmaker
    The dressmaker left a piece of sheet shorter than five meters. She is deciding whether it run up a skirt or apparel. The canvas was exactly every bit much as they consumed had cut upwards her skirt to 120 cm, or 180 centimeters dress. What a slice of sheet left her?
  • LCM of two number
    Detect the smallest multiple of 63 and 147
  • Reminder and quotient
    There are given numbers A = 135, B = 315. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the residual 1.
  • Around the flowerbed
    Around a rectangular flowerbed with dimensions five.25 yard and 3.5 m are to exist planted roses equally spaced and then that the roses are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many rose
  • Buses
    At the double-decker stop at ten o'clock met buses No. two and No. nine. Bus number two runs at an interval of 4 minutes and bus number ix at intervals of 9 minutes. How many times does the passenger vehicle encounter at 18:00 local time?
  • Gearing
    Gearing consists of two wheels. I is 88, and the second is 56 teeth. How many times turn the smaller wheel to hitting the aforementioned teeth as in the get-go? How many times will we turn the biggest wheel?
  • Buses 4
    Intervals: 1st bus forty min. second double-decker 2h 3rd bud 20min How long will it take them to run into - as before long equally possible?
  • 4 classses
    Students of all 7, viii, and ix classes in ane school may take up iv,5,6 and seven abreast, and nobody will exist left. How many is the average count of pupils in one grade if in that location are e'er four classes in each form?
  • Gcd and lcm
    Calculate the greatest common divisor and the least common multiple of numbers. a) sixteen and eighteen b) 24 and 22 c) 45 and 60 d) 36 and thirty
  • Calculate 2976
    Calculate the least common multiple of 120, 660, and 210.
  • Specify: 4001
    Specify: a = D (240,320) b = n (forty.64)
  • A rope
    A rope can be cut into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
  • Newspapers 5601
    Four deliver newspapers. One takes threescore minutes, the 2d 40 minutes, the third 120 minutes, and the fourth 80 minutes. If they left at the same time, at 8 o'clock, when will they meet again at the identify they left?
  • Dinosaurs
    More than thirty and less than sixty dinosaurs have met at the swimming. A quarter of them bathed and i/7 saws, and the balance gripped. How many were at the pond? How many were there?
  • Dimensions 6201
    Mr. John'south plot of land has dimensions of 252 dm and 28 thousand. How far apart must he place the fence posts so they are the aforementioned altitude on both sides? How many will he need to fence the entire belongings?

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