Least Common Multiple of 46, 528, 253

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 46, 528, 253 i.e. 12144 smallest integer divisible by all numbers.

Least common multiple (LCM) of 46, 528, 253 is 12144.

LCM(46, 528, 253) = 12144

LCM of 46, 528, 253

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

LCM of:

Least Common Multiple of 46,528,253

Least Common Multiple (LCM) of 46,528,253 is 12144

2 46, 528, 253
11 23, 264, 253
23 23, 24, 23
1, 24, 1

∴ So the LCM of the given numbers is 2 x 11 x 23 x 1 x 24 x 1 = 12144

Least Common Multiple of 46,528,253 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 46,528,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,528,253) = 1

common factors(in case of two or more numbers have common factors) = 506

GCF(46,528,253) x common factors =1 x 506 = 506

LCM(46,528,253) = ( 46 × 528 × 253 ) / 506

LCM(46,528,253) = 6144864 / 506

LCM(46,528,253) = 12144

∴ Least Common Multiple of 46,528,253 is 12144

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 46, 528, 253

1. What is the LCM of 46, 528, 253?

Answer: LCM of 46, 528, 253 is 12144.

2. What are the Factors of 12144?

Answer: Factors of 12144 are . There are integers that are factors of 12144

3. How to Find the LCM of 46, 528, 253 ?

Least Common Multiple of 46, 528, 253.

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(46, 528, 253) = 2 x 2 x 2 x 2 x 3 x 11 x 23 = 12144.