Least Common Multiple of 79/398, 26/154, 114/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/398, 26/154, 114/882 quickly i.e. 58539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/398, 26/154, 114/882 is 58539.

LCM(79/398, 26/154, 114/882) = 58539

LCM of 79/398, 26/154, 114/882

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 79/398,26/154,114/882

Given numbers are 79/398,26/154,114/882

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 79,26,114

Least Common Multiple of Numerators i.e. LCM of 79,26,114 is 117078.

GCF of Denominators means GCF of 398,154,882 as per the given fractions.

GCF of 398,154,882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,26,114

LCM of Fractions 79/398,26/154,114/882 is 58539

2 79, 26, 114
79, 13, 57

∴ So the LCM of the given numbers is 2 x 79 x 13 x 57 = 117078

Least Common Multiple of 79,26,114 with GCF Formula

Least Common Multiple of 79,26,114 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 79,26,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,26,114) = 1

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

GCF(79,26,114) x common factors =1 x 2 = 2

LCM(79,26,114) = ( 79 × 26 × 114 ) / 2

LCM(79,26,114) = 234156 / 2

LCM(79,26,114) = 117078


Lets's calculate GCF of 398,154,882

2 398, 154, 882
199, 77, 441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117078/2

Therefore the LCM of Fractions 79/398,26/154,114/882 is 58539

Greatest Common Factor of 398,154,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,154,882 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 398,154,882 . The biggest common factor number is the GCF number.
So the greatest common factor 398,154,882 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 79/398, 26/154, 114/882

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 79/398, 26/154, 114/882?

Answer: LCM of Numerators as per given numbers 79/398, 26/154, 114/882 is

LCM of Numerators i.e. for 79,26,114 is 117078

GCF of denominators i.e. for 398,154,882 is 2.

Thus, LCM of Fractions is 58539.Finally, LCM of Fractions for 79/398, 26/154, 114/882 is 58539.