Least Common Multiple of 278/352, 678/855, 971/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/352, 678/855, 971/331 quickly i.e. 91508982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/352, 678/855, 971/331 is 91508982.

LCM(278/352, 678/855, 971/331) = 91508982

LCM of 278/352, 678/855, 971/331

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 278/352,678/855,971/331

Given numbers are 278/352,678/855,971/331

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 278,678,971

Least Common Multiple of Numerators i.e. LCM of 278,678,971 is 91508982.

GCF of Denominators means GCF of 352,855,331 as per the given fractions.

GCF of 352,855,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,678,971

LCM of Fractions 278/352,678/855,971/331 is 91508982

2 278, 678, 971
139, 339, 971

∴ So the LCM of the given numbers is 2 x 139 x 339 x 971 = 91508982

Least Common Multiple of 278,678,971 with GCF Formula

Least Common Multiple of 278,678,971 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 278,678,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,678,971) = 1

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

GCF(278,678,971) x common factors =1 x 2 = 2

LCM(278,678,971) = ( 278 × 678 × 971 ) / 2

LCM(278,678,971) = 183017964 / 2

LCM(278,678,971) = 91508982


Lets's calculate GCF of 352,855,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91508982/1

Therefore the LCM of Fractions 278/352,678/855,971/331 is 91508982

Greatest Common Factor of 352,855,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,855,331 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 352,855,331 . The biggest common factor number is the GCF number.
So the greatest common factor 352,855,331 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 278/352, 678/855, 971/331

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 278/352, 678/855, 971/331?

Answer: LCM of Numerators as per given numbers 278/352, 678/855, 971/331 is

LCM of Numerators i.e. for 278,678,971 is 91508982

GCF of denominators i.e. for 352,855,331 is 1.

Thus, LCM of Fractions is 91508982.Finally, LCM of Fractions for 278/352, 678/855, 971/331 is 91508982.