Least Common Multiple of 893, 144, 513

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 893, 144, 513 i.e. 385776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 893, 144, 513 is 385776.

LCM(893, 144, 513) = 385776

LCM of 893, 144, 513

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

LCM of:

Least Common Multiple of 893,144,513

Least Common Multiple (LCM) of 893,144,513 is 385776

3 893, 144, 513
3 893, 48, 171
19 893, 16, 57
47, 16, 3

∴ So the LCM of the given numbers is 3 x 3 x 19 x 47 x 16 x 3 = 385776

Least Common Multiple of 893,144,513 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 893,144,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,144,513) = 1

common factors(in case of two or more numbers have common factors) = 171

GCF(893,144,513) x common factors =1 x 171 = 171

LCM(893,144,513) = ( 893 × 144 × 513 ) / 171

LCM(893,144,513) = 65967696 / 171

LCM(893,144,513) = 385776

∴ Least Common Multiple of 893,144,513 is 385776

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 893, 144, 513

1. What is the LCM of 893, 144, 513?

Answer: LCM of 893, 144, 513 is 385776.

2. What are the Factors of 385776?

Answer: Factors of 385776 are . There are integers that are factors of 385776

3. How to Find the LCM of 893, 144, 513 ?

Least Common Multiple of 893, 144, 513.

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(893, 144, 513) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 47 = 385776.