Least Common Multiple of 53, 96, 32, 728

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 53, 96, 32, 728 i.e. 463008 smallest integer divisible by all numbers.

Least common multiple (LCM) of 53, 96, 32, 728 is 463008.

LCM(53, 96, 32, 728) = 463008

LCM of 53, 96, 32, 728

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

LCM of:

Least Common Multiple of 53,96,32,728

Least Common Multiple (LCM) of 53,96,32,728 is 463008

2 53, 96, 32, 728
2 53, 48, 16, 364
2 53, 24, 8, 182
2 53, 12, 4, 91
2 53, 6, 2, 91
53, 3, 1, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 53 x 3 x 1 x 91 = 463008

Least Common Multiple of 53,96,32,728 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 53,96,32,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,96,32,728) = 1

common factors(in case of two or more numbers have common factors) = 256

GCF(53,96,32,728) x common factors =1 x 256 = 256

LCM(53,96,32,728) = ( 53 × 96 × 32 × 728 ) / 256

LCM(53,96,32,728) = 118530048 / 256

LCM(53,96,32,728) = 463008

∴ Least Common Multiple of 53,96,32,728 is 463008

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 53, 96, 32, 728

1. What is the LCM of 53, 96, 32, 728?

Answer: LCM of 53, 96, 32, 728 is 463008.

2. What are the Factors of 463008?

Answer: Factors of 463008 are . There are integers that are factors of 463008

3. How to Find the LCM of 53, 96, 32, 728 ?

Least Common Multiple of 53, 96, 32, 728.

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(53, 96, 32, 728) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 53 = 463008.