Least Common Multiple of 23, 64, 20, 992

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 23, 64, 20, 992 i.e. 228160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 64, 20, 992 is 228160.

LCM(23, 64, 20, 992) = 228160

LCM of 23, 64, 20, 992

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

LCM of:

Least Common Multiple of 23,64,20,992

Least Common Multiple (LCM) of 23,64,20,992 is 228160

2 23, 64, 20, 992
2 23, 32, 10, 496
2 23, 16, 5, 248
2 23, 8, 5, 124
2 23, 4, 5, 62
23, 2, 5, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 23 x 2 x 5 x 31 = 228160

Least Common Multiple of 23,64,20,992 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 23,64,20,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,64,20,992) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(23,64,20,992) x common factors =1 x 128 = 128

LCM(23,64,20,992) = ( 23 × 64 × 20 × 992 ) / 128

LCM(23,64,20,992) = 29204480 / 128

LCM(23,64,20,992) = 228160

∴ Least Common Multiple of 23,64,20,992 is 228160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 23, 64, 20, 992

1. What is the LCM of 23, 64, 20, 992?

Answer: LCM of 23, 64, 20, 992 is 228160.

2. What are the Factors of 228160?

Answer: Factors of 228160 are . There are integers that are factors of 228160

3. How to Find the LCM of 23, 64, 20, 992 ?

Least Common Multiple of 23, 64, 20, 992.

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(23, 64, 20, 992) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 31 = 228160.