Question

find the LCM of 70, 80 ,90,​

Answer 1

Answer:

5040

Step-by-step explanation:

LCM of 70, 80 and 90

10 70 80 90

7 7 8 9

8 1 8 9

9 1 1 9

Multiply the divisors to find the lcm of 70, 80 and 90

10 x 7 x 8 x 9 = 5040

LCM(70, 80, 90) = 5040

Least Common Multiple is :

5040

Answer 2

Given:

70,80,90

To Find:

The LCM of the given numbers

Solution:

LCM or Least Common Factor is a method to find the smallest common multiple between two or more numbers.

LCM can be found out by using various methods such as long division, tabular or prime factorisation method.

We will use the prime factorization method in which every number is prime factorised and the highest power number of every prime factor is taken and multiplied together to find the LCM.

Prime factorisation of the given numbers,

70=2*5*7

80=2*2*2*2*5

90=2*3*3*5

So now the LCM will be,

LCM=2*2*2*2*3*3*5*7

       =5040

Hence, the LCM of 70,80,90 is 5040.