You find multiples of a number by multiplying it by successive counting numbers.
The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.
You find the LCM of two numbers by comparing their prime factorizations.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
LCM = 24
There are infinite common multiples for a set of numbers. So it is not possible to write down all the common multiples. Some common multiples of 15, 30 and 45 are 90, 180, 270, 360,... There is another way to find common multiples: Write the multiples of LCM(15, 30, 45). Actually the common multiples of a set of numbers are the multiples of their LCM. LCM of 15, 30 and 45 is 90. And the multiples of 90 are 90, 180, 270, 360, 450, 540,... which are the common multiples of 15, 30 and 45.
The LCM is: 525
The LCM is 4032.
The common multiples of 3 and 16 are all multiples of their LCM, which is 48. Thus, their common multiples are 48, 96, 144, 192, 240, 288, etc.
There can only be one LCM per set of numbers. Other common multiples will be multiples of the LCM. The LCM of 2840 and 144 is 51120. Other multiples include 102240 and 153360. The LCM of 28, 40 and 144 is 5040. Other multiples include 10080 and 15120.
The LCM of 9 and 10 is 90. Other multiples include 180, 270 and 360.
By comparing its multiples to another set of multiples.
By comparing its multiples to the multiples of another number.
The LCM of 10 & 35 is 70
The LCM of 7 and 9 is 63.
LCM=6 2,4,6 =12
multiples of 6-6 multiplesof 3- 3,6 multiples of 2- 2,4,6 LCM is 6
Multiples of 5: 5, 10, 15Multiples of 10: 10, 20The LCM is 10.
The LCM is: 6,384
All numbers have multiples. Some numbers have some of the same multiples as other numbers. These are known as common multiples. On the list of common multiples, one number is the smallest. This is the least common multiple.
The multiples of 5 that are also multiples of 6 are multiples of their LCM. The LCM of 5 and 6 is 30, so the question becomes which multiples of 30 are less than 100? The solution is the numbers: 30, 60, 90