Least Common Multiple of 44/676, 13/854, 158/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/676, 13/854, 158/214 quickly i.e. 22594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/676, 13/854, 158/214 is 22594.

LCM(44/676, 13/854, 158/214) = 22594

LCM of 44/676, 13/854, 158/214

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 44/676,13/854,158/214

Given numbers are 44/676,13/854,158/214

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 44,13,158

Least Common Multiple of Numerators i.e. LCM of 44,13,158 is 45188.

GCF of Denominators means GCF of 676,854,214 as per the given fractions.

GCF of 676,854,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,13,158

LCM of Fractions 44/676,13/854,158/214 is 22594

2 44, 13, 158
22, 13, 79

∴ So the LCM of the given numbers is 2 x 22 x 13 x 79 = 45188

Least Common Multiple of 44,13,158 with GCF Formula

Least Common Multiple of 44,13,158 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 44,13,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,13,158) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,13,158) x common factors =1 x 2 = 2

LCM(44,13,158) = ( 44 × 13 × 158 ) / 2

LCM(44,13,158) = 90376 / 2

LCM(44,13,158) = 45188


Lets's calculate GCF of 676,854,214

2 676, 854, 214
338, 427, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45188/2

Therefore the LCM of Fractions 44/676,13/854,158/214 is 22594

Greatest Common Factor of 676,854,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,854,214 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 676,854,214 . The biggest common factor number is the GCF number.
So the greatest common factor 676,854,214 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 44/676, 13/854, 158/214

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 44/676, 13/854, 158/214?

Answer: LCM of Numerators as per given numbers 44/676, 13/854, 158/214 is

LCM of Numerators i.e. for 44,13,158 is 45188

GCF of denominators i.e. for 676,854,214 is 2.

Thus, LCM of Fractions is 22594.Finally, LCM of Fractions for 44/676, 13/854, 158/214 is 22594.