Least Common Multiple of 31, 64, 56, 698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 31, 64, 56, 698 i.e. 4846912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 64, 56, 698 is 4846912.

LCM(31, 64, 56, 698) = 4846912

LCM of 31, 64, 56, 698

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 31,64,56,698

Least Common Multiple (LCM) of 31,64,56,698 is 4846912

2 31, 64, 56, 698
2 31, 32, 28, 349
2 31, 16, 14, 349
31, 8, 7, 349

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 8 x 7 x 349 = 4846912

Least Common Multiple of 31,64,56,698 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,64,56,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,64,56,698) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(31,64,56,698) x common factors =1 x 16 = 16

LCM(31,64,56,698) = ( 31 × 64 × 56 × 698 ) / 16

LCM(31,64,56,698) = 77550592 / 16

LCM(31,64,56,698) = 4846912

∴ Least Common Multiple of 31,64,56,698 is 4846912

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 31, 64, 56, 698

1. What is the LCM of 31, 64, 56, 698?

Answer: LCM of 31, 64, 56, 698 is 4846912.

2. What are the Factors of 4846912?

Answer: Factors of 4846912 are . There are integers that are factors of 4846912

3. How to Find the LCM of 31, 64, 56, 698 ?

Least Common Multiple of 31, 64, 56, 698.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(31, 64, 56, 698) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 31 x 349 = 4846912.