Least Common Multiple of 92/344, 544/682, 131/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/344, 544/682, 131/666 quickly i.e. 819536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/344, 544/682, 131/666 is 819536.

LCM(92/344, 544/682, 131/666) = 819536

LCM of 92/344, 544/682, 131/666

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 92/344,544/682,131/666

Given numbers are 92/344,544/682,131/666

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 92,544,131

Least Common Multiple of Numerators i.e. LCM of 92,544,131 is 1639072.

GCF of Denominators means GCF of 344,682,666 as per the given fractions.

GCF of 344,682,666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,544,131

LCM of Fractions 92/344,544/682,131/666 is 819536

2 92, 544, 131
2 46, 272, 131
23, 136, 131

∴ So the LCM of the given numbers is 2 x 2 x 23 x 136 x 131 = 1639072

Least Common Multiple of 92,544,131 with GCF Formula

Least Common Multiple of 92,544,131 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 92,544,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,544,131) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,544,131) x common factors =1 x 4 = 4

LCM(92,544,131) = ( 92 × 544 × 131 ) / 4

LCM(92,544,131) = 6556288 / 4

LCM(92,544,131) = 1639072


Lets's calculate GCF of 344,682,666

2 344, 682, 666
172, 341, 333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1639072/2

Therefore the LCM of Fractions 92/344,544/682,131/666 is 819536

Greatest Common Factor of 344,682,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,682,666 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 344,682,666 . The biggest common factor number is the GCF number.
So the greatest common factor 344,682,666 is 2.


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 92/344, 544/682, 131/666

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 92/344, 544/682, 131/666?

Answer: LCM of Numerators as per given numbers 92/344, 544/682, 131/666 is

LCM of Numerators i.e. for 92,544,131 is 1639072

GCF of denominators i.e. for 344,682,666 is 2.

Thus, LCM of Fractions is 819536.Finally, LCM of Fractions for 92/344, 544/682, 131/666 is 819536.