Least Common Multiple of 346, 546, 728

Q: How to Find the LCM of 346, 546, 728 ?

Least Common Multiple of 346, 546, 728 = 377832 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(346, 546, 728) = 2 x 2 x 2 x 3 x 7 x 13 x 173 = 377832.

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 346, 546, 728 i.e. 377832 smallest integer divisible by all numbers.

Least common multiple (LCM) of 346, 546, 728 is 377832.

LCM(346, 546, 728) = 377832

LCM of 346, 546, 728

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

Least Common Multiple of 346, 546, 728 by common division method
Least Common Multiple of 346, 546, 728 with GCF Formula

Least Common Multiple of 346,546,728

Least Common Multiple (LCM) of 346,546,728 is 377832

2	346, 546, 728
7	173, 273, 364
13	173, 39, 52
	173, 3, 4

∴ So the LCM of the given numbers is 2 x 7 x 13 x 173 x 3 x 4 = 377832

Least Common Multiple of 346,546,728 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 346,546,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,546,728) = 2

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

GCF(346,546,728) x common factors =2 x 182 = 364

LCM(346,546,728) = ( 346 × 546 × 728 ) / 364

LCM(346,546,728) = 137530848 / 364

LCM(346,546,728) = 377832

∴ Least Common Multiple of 346,546,728 is 377832

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 346, 546, 728

1. What is the LCM of 346, 546, 728?

Answer: LCM of 346, 546, 728 is 377832.

2. What are the Factors of 377832?

Answer: Factors of 377832 are . There are integers that are factors of 377832

3. How to Find the LCM of 346, 546, 728 ?

Least Common Multiple of 346, 546, 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(346, 546, 728) = 2 x 2 x 2 x 3 x 7 x 13 x 173 = 377832.