Least Common Multiple of 728, 469, 546

Q: How to Find the LCM of 728, 469, 546 ?

Least Common Multiple of 728, 469, 546 = 146328 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(728, 469, 546) = 2 x 2 x 2 x 3 x 7 x 13 x 67 = 146328.

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 728, 469, 546 i.e. 146328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 728, 469, 546 is 146328.

LCM(728, 469, 546) = 146328

LCM of 728, 469, 546

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

Least Common Multiple of 728, 469, 546 by common division method
Least Common Multiple of 728, 469, 546 with GCF Formula

Least Common Multiple of 728,469,546

Least Common Multiple (LCM) of 728,469,546 is 146328

2	728, 469, 546
7	364, 469, 273
13	52, 67, 39
	4, 67, 3

∴ So the LCM of the given numbers is 2 x 7 x 13 x 4 x 67 x 3 = 146328

Least Common Multiple of 728,469,546 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 728,469,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,469,546) = 7

common factors(in case of two or more numbers have common factors) = 182

GCF(728,469,546) x common factors =7 x 182 = 1274

LCM(728,469,546) = ( 728 × 469 × 546 ) / 1274

LCM(728,469,546) = 186421872 / 1274

LCM(728,469,546) = 146328

∴ Least Common Multiple of 728,469,546 is 146328

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 728, 469, 546

1. What is the LCM of 728, 469, 546?

Answer: LCM of 728, 469, 546 is 146328.

2. What are the Factors of 146328?

Answer: Factors of 146328 are . There are integers that are factors of 146328

3. How to Find the LCM of 728, 469, 546 ?

Least Common Multiple of 728, 469, 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(728, 469, 546) = 2 x 2 x 2 x 3 x 7 x 13 x 67 = 146328.