Least Common Multiple of 96/881, 616/331, 316/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/881, 616/331, 316/264 quickly i.e. 583968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/881, 616/331, 316/264 is 583968.

LCM(96/881, 616/331, 316/264) = 583968

LCM of 96/881, 616/331, 316/264

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 96/881,616/331,316/264

Given numbers are 96/881,616/331,316/264

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 96,616,316

Least Common Multiple of Numerators i.e. LCM of 96,616,316 is 583968.

GCF of Denominators means GCF of 881,331,264 as per the given fractions.

GCF of 881,331,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,616,316

LCM of Fractions 96/881,616/331,316/264 is 583968

2 96, 616, 316
2 48, 308, 158
2 24, 154, 79
12, 77, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 77 x 79 = 583968

Least Common Multiple of 96,616,316 with GCF Formula

Least Common Multiple of 96,616,316 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 96,616,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,616,316) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(96,616,316) x common factors =4 x 8 = 32

LCM(96,616,316) = ( 96 × 616 × 316 ) / 32

LCM(96,616,316) = 18686976 / 32

LCM(96,616,316) = 583968


Lets's calculate GCF of 881,331,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583968/1

Therefore the LCM of Fractions 96/881,616/331,316/264 is 583968

Greatest Common Factor of 881,331,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,331,264 By Matching Biggest Common Factor Method

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 331

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

1,331

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 881,331,264 . The biggest common factor number is the GCF number.
So the greatest common factor 881,331,264 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/881, 616/331, 316/264

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 96/881, 616/331, 316/264?

Answer: LCM of Numerators as per given numbers 96/881, 616/331, 316/264 is

LCM of Numerators i.e. for 96,616,316 is 583968

GCF of denominators i.e. for 881,331,264 is 1.

Thus, LCM of Fractions is 583968.Finally, LCM of Fractions for 96/881, 616/331, 316/264 is 583968.