Least Common Multiple of 676, 304, 338

Q: How to Find the LCM of 676, 304, 338 ?

Least Common Multiple of 676, 304, 338 = 51376 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(676, 304, 338) = 2 x 2 x 2 x 2 x 13 x 13 x 19 = 51376.

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 676, 304, 338 i.e. 51376 smallest integer divisible by all numbers.

Least common multiple (LCM) of 676, 304, 338 is 51376.

LCM(676, 304, 338) = 51376

LCM of 676, 304, 338

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

Least Common Multiple of 676, 304, 338 by common division method
Least Common Multiple of 676, 304, 338 with GCF Formula

Least Common Multiple of 676,304,338

Least Common Multiple (LCM) of 676,304,338 is 51376

2	676, 304, 338
2	338, 152, 169
13	169, 76, 169
13	13, 76, 13
	1, 76, 1

∴ So the LCM of the given numbers is 2 x 2 x 13 x 13 x 1 x 76 x 1 = 51376

Least Common Multiple of 676,304,338 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 676,304,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,304,338) = 2

common factors(in case of two or more numbers have common factors) = 676

GCF(676,304,338) x common factors =2 x 676 = 1352

LCM(676,304,338) = ( 676 × 304 × 338 ) / 1352

LCM(676,304,338) = 69460352 / 1352

LCM(676,304,338) = 51376

∴ Least Common Multiple of 676,304,338 is 51376

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 676, 304, 338

1. What is the LCM of 676, 304, 338?

Answer: LCM of 676, 304, 338 is 51376.

2. What are the Factors of 51376?

Answer: Factors of 51376 are . There are integers that are factors of 51376

3. How to Find the LCM of 676, 304, 338 ?

Least Common Multiple of 676, 304, 338.

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(676, 304, 338) = 2 x 2 x 2 x 2 x 13 x 13 x 19 = 51376.