Least Common Multiple of 204, 480, 546

Q: How to Find the LCM of 204, 480, 546 ?

Least Common Multiple of 204, 480, 546 = 742560 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(204, 480, 546) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 = 742560.

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 204, 480, 546 i.e. 742560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 204, 480, 546 is 742560.

LCM(204, 480, 546) = 742560

LCM of 204, 480, 546

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

Least Common Multiple of 204, 480, 546 by common division method
Least Common Multiple of 204, 480, 546 with GCF Formula

Least Common Multiple of 204,480,546

Least Common Multiple (LCM) of 204,480,546 is 742560

2	204, 480, 546
2	102, 240, 273
3	51, 120, 273
	17, 40, 91

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 40 x 91 = 742560

Least Common Multiple of 204,480,546 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 204,480,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,480,546) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(204,480,546) x common factors =6 x 12 = 72

LCM(204,480,546) = ( 204 × 480 × 546 ) / 72

LCM(204,480,546) = 53464320 / 72

LCM(204,480,546) = 742560

∴ Least Common Multiple of 204,480,546 is 742560

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 204, 480, 546

1. What is the LCM of 204, 480, 546?

Answer: LCM of 204, 480, 546 is 742560.

2. What are the Factors of 742560?

Answer: Factors of 742560 are . There are integers that are factors of 742560

3. How to Find the LCM of 204, 480, 546 ?

Least Common Multiple of 204, 480, 546.

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(204, 480, 546) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 = 742560.