LCM of 2,5 and 7

We use LCM of 2,5 and 7 to find  the smallest number that divides both the numbers equally.  The smallest positive number is the number that divides both numbers equally, is 70 without leaving any remainder. LCM is used mainly in fractions to find a common number for both the integers.

The LCM of 2,5 and 7 can be found by the following methods like division method, listing multiples, prime factorization.
 

In division method, we divide both the numbers, we begin with dividing side by side the smallest number. We continue dividing until we get a common number that divides both the numbers equally. It makes it easier for the children to focus on prime factors and identify them.

• 2 divides 2, not 5 and 7

• 5 divides 5,not 2 and 7

• 7 divides 7, not 2 and 5.

Now multiply the divisors : 2×5×7=70 which is the LCM.
 

Step 1: Start by listing multiples of both the numbers separately:

Multiples of 2 are 2,4,6,8,10,12,14,16,18,20…..70

Multiples of 5 are 5,10,15,20,25,30,35,40,45,50…..70

Multiples of 7 are 7,14,21,28,35,42,49,56,63,70

Step 2: The least common factor from the list is 70. Therefore, the LCM of 2,5 and 7 is 70.

Step 1:We part the numbers into factors:

Factor of 2: 2

Factors of 5: 5

Factors of 7:7

Step 2:Take the powers of both the numbers and multiply together:

LCM=2x5x7=70.

• Prime Factor: A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.

• Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2×7.

• Co-prime numbers: numbers which have the only positive divisor of them both as 1. For example, 6 and 7.