Least Common Multiple of 16, 74, 461

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 16, 74, 461 i.e. 272912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 74, 461 is 272912.

LCM(16, 74, 461) = 272912

LCM of 16, 74, 461

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

LCM of:

Least Common Multiple of 16,74,461

Least Common Multiple (LCM) of 16,74,461 is 272912

2 16, 74, 461
8, 37, 461

∴ So the LCM of the given numbers is 2 x 8 x 37 x 461 = 272912

Least Common Multiple of 16,74,461 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 16,74,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,74,461) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,74,461) x common factors =1 x 2 = 2

LCM(16,74,461) = ( 16 × 74 × 461 ) / 2

LCM(16,74,461) = 545824 / 2

LCM(16,74,461) = 272912

∴ Least Common Multiple of 16,74,461 is 272912

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 16, 74, 461

1. What is the LCM of 16, 74, 461?

Answer: LCM of 16, 74, 461 is 272912.

2. What are the Factors of 272912?

Answer: Factors of 272912 are . There are integers that are factors of 272912

3. How to Find the LCM of 16, 74, 461 ?

Least Common Multiple of 16, 74, 461.

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(16, 74, 461) = 2 x 2 x 2 x 2 x 37 x 461 = 272912.