Least Common Multiple of 334/43, 666/91, 756/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/43, 666/91, 756/409 quickly i.e. 4671324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/43, 666/91, 756/409 is 4671324.

LCM(334/43, 666/91, 756/409) = 4671324

LCM of 334/43, 666/91, 756/409

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 334/43,666/91,756/409

Given numbers are 334/43,666/91,756/409

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 334,666,756

Least Common Multiple of Numerators i.e. LCM of 334,666,756 is 4671324.

GCF of Denominators means GCF of 43,91,409 as per the given fractions.

GCF of 43,91,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,666,756

LCM of Fractions 334/43,666/91,756/409 is 4671324

2 334, 666, 756
3 167, 333, 378
3 167, 111, 126
167, 37, 42

∴ So the LCM of the given numbers is 2 x 3 x 3 x 167 x 37 x 42 = 4671324

Least Common Multiple of 334,666,756 with GCF Formula

Least Common Multiple of 334,666,756 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 334,666,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,666,756) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(334,666,756) x common factors =2 x 18 = 36

LCM(334,666,756) = ( 334 × 666 × 756 ) / 36

LCM(334,666,756) = 168167664 / 36

LCM(334,666,756) = 4671324


Lets's calculate GCF of 43,91,409

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4671324/1

Therefore the LCM of Fractions 334/43,666/91,756/409 is 4671324

Greatest Common Factor of 43,91,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,91,409 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 43,91,409 . The biggest common factor number is the GCF number.
So the greatest common factor 43,91,409 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 334/43, 666/91, 756/409

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 334/43, 666/91, 756/409?

Answer: LCM of Numerators as per given numbers 334/43, 666/91, 756/409 is

LCM of Numerators i.e. for 334,666,756 is 4671324

GCF of denominators i.e. for 43,91,409 is 1.

Thus, LCM of Fractions is 4671324.Finally, LCM of Fractions for 334/43, 666/91, 756/409 is 4671324.