Least Common Multiple of 64, 78, 96, 523

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 64, 78, 96, 523 i.e. 1305408 smallest integer divisible by all numbers.

Least common multiple (LCM) of 64, 78, 96, 523 is 1305408.

LCM(64, 78, 96, 523) = 1305408

LCM of 64, 78, 96, 523

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

LCM of:

Least Common Multiple of 64,78,96,523

Least Common Multiple (LCM) of 64,78,96,523 is 1305408

2 64, 78, 96, 523
2 32, 39, 48, 523
2 16, 39, 24, 523
2 8, 39, 12, 523
2 4, 39, 6, 523
3 2, 39, 3, 523
2, 13, 1, 523

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 2 x 13 x 1 x 523 = 1305408

Least Common Multiple of 64,78,96,523 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 64,78,96,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,78,96,523) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(64,78,96,523) x common factors =1 x 192 = 192

LCM(64,78,96,523) = ( 64 × 78 × 96 × 523 ) / 192

LCM(64,78,96,523) = 250638336 / 192

LCM(64,78,96,523) = 1305408

∴ Least Common Multiple of 64,78,96,523 is 1305408

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 64, 78, 96, 523

1. What is the LCM of 64, 78, 96, 523?

Answer: LCM of 64, 78, 96, 523 is 1305408.

2. What are the Factors of 1305408?

Answer: Factors of 1305408 are . There are integers that are factors of 1305408

3. How to Find the LCM of 64, 78, 96, 523 ?

Least Common Multiple of 64, 78, 96, 523.

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(64, 78, 96, 523) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 523 = 1305408.