Question

Using prime factorisation find the LCM 28,74,140

Answer 1

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Answer 2

Answer:

LCM of the given number will be 5180

Step-by-step explanation:

In context to question asked,

We have to determine the LCM

As per question,

We have,

28, 74, 140

As it is mentioned to determine the LCM by using prime factorisation method.

We know that,

• LCM of two or more number is that particular number which is the smallest common multiple of all the given number.

• Prime factorisation method is the method in which we convert the given number as a factors of prime numbers.

• Prime numbers are those numbers which are either divisible by 1 or itself.

So, converting the given number in form of prime numbers,

We will get,

$28 = 2 \times 2 \times 7\\74 = 2 \times 37\\140 = 2 \times 2 \times 5\times 7\\=> LCM = 2\times 2 \times 5 \times 7 \times 37 = 140 \times 37 = 5180$