LCM and HCF

LCM stands for Lest common multiple.

Least == smallest Highest = Gratest

Common = among number Common = among numbers

Multiple = explained below Factors= Divisor

there are two words one is factor and other is multiple.Consider this example 6

we can write 6 like this 3 x 2 = 6

3 and 2 are factors of 6. It means that 6 is divisible by 2 and 3.

While 6 is multiple of 3 and 2.It means that 6 comes in the table of 3 and 2 so we can get 6 if we multiply 3 and 2

Now we know the meaning of basic terms .

lets start with LCM of two numbers 2 and 5

LCM means that we ahve to find the smallest common multiple

Multiple of 2 are 2 x 1= 2 Multiple of 5 are 5 x 1= 5

2 x 2 = 4 5 x2=10

2 x4 = 8

now the least common multiple of 2 and 5 is 10

Now Consider numbers 3 and 6

so clearly LCM is 6 because 6 is least number that comes in table of both 3 and 6

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