Least Common Multiple of 104, 728, 364

Q: How to Find the LCM of 104, 728, 364 ?

Least Common Multiple of 104, 728, 364 = 728 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(104, 728, 364) = 2 x 2 x 2 x 7 x 13 = 728.

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 104, 728, 364 i.e. 728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 104, 728, 364 is 728.

LCM(104, 728, 364) = 728

LCM of 104, 728, 364

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

Least Common Multiple of 104, 728, 364 by common division method
Least Common Multiple of 104, 728, 364 with GCF Formula

Least Common Multiple of 104,728,364

Least Common Multiple (LCM) of 104,728,364 is 728

2	104, 728, 364
2	52, 364, 182
2	26, 91, 182
7	13, 91, 91
13	13, 13, 13
	1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 1 x 1 x 1 = 728

Least Common Multiple of 104,728,364 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 104,728,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,728,364) = 52

common factors(in case of two or more numbers have common factors) = 728

GCF(104,728,364) x common factors =52 x 728 = 37856

LCM(104,728,364) = ( 104 × 728 × 364 ) / 37856

LCM(104,728,364) = 27559168 / 37856

LCM(104,728,364) = 728

∴ Least Common Multiple of 104,728,364 is 728

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 104, 728, 364

1. What is the LCM of 104, 728, 364?

Answer: LCM of 104, 728, 364 is 728.

2. What are the Factors of 728?

Answer: Factors of 728 are . There are integers that are factors of 728

3. How to Find the LCM of 104, 728, 364 ?

Least Common Multiple of 104, 728, 364.

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(104, 728, 364) = 2 x 2 x 2 x 7 x 13 = 728.