Least Common Multiple of 561, 456, 462

Q: How to Find the LCM of 561, 456, 462 ?

Least Common Multiple of 561, 456, 462 = 596904 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(561, 456, 462) = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 19 = 596904.

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 561, 456, 462 i.e. 596904 smallest integer divisible by all numbers.

Least common multiple (LCM) of 561, 456, 462 is 596904.

LCM(561, 456, 462) = 596904

LCM of 561, 456, 462

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

Least Common Multiple of 561, 456, 462 by common division method
Least Common Multiple of 561, 456, 462 with GCF Formula

Least Common Multiple of 561,456,462

Least Common Multiple (LCM) of 561,456,462 is 596904

2	561, 456, 462
3	561, 228, 231
11	187, 76, 77
	17, 76, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 17 x 76 x 7 = 596904

Least Common Multiple of 561,456,462 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 561,456,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,456,462) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(561,456,462) x common factors =3 x 66 = 198

LCM(561,456,462) = ( 561 × 456 × 462 ) / 198

LCM(561,456,462) = 118186992 / 198

LCM(561,456,462) = 596904

∴ Least Common Multiple of 561,456,462 is 596904

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 561, 456, 462

1. What is the LCM of 561, 456, 462?

Answer: LCM of 561, 456, 462 is 596904.

2. What are the Factors of 596904?

Answer: Factors of 596904 are . There are integers that are factors of 596904

3. How to Find the LCM of 561, 456, 462 ?

Least Common Multiple of 561, 456, 462.

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(561, 456, 462) = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 19 = 596904.