Question

find the lcm of 21,30,35​

Answer 1

Answer:

210

Step-by-step explanation:

Prime factorization of the numbers:

21 = 3 × 7

30 = 2 × 3 × 5

35 = 5 × 7

LCM(21, 30, 35)

= 2 × 3 × 5 × 7

= 210

Answer 2

As per the data given in the question,

We have to determine the LCM of 21, 30 and 35.

As we know that,

LCM means Lowest common multiple, LCM of two or more than two numbers are those numbers which is a lowest multiple of all the given number.

Or in simple words we can say that, LCM of two number is that lowest number which comes firstly in table of both numbers.

So, we will use prime factorisation for finding LCM,

Prime factorisation of 21, 30 and 35 will be,

$21 = 3 \times 7 \\30 = 3\times 2 \times 5\\35 = 5\times 7\\LCM = 3\times 7 \times 2 \times 5\\=>LCM = 210$

Hence, LCM of 21, 30 and 35 will be 210.