Least Common Multiple of 52/276, 686/582, 333/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/276, 686/582, 333/970 quickly i.e. 2969694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/276, 686/582, 333/970 is 2969694.

LCM(52/276, 686/582, 333/970) = 2969694

LCM of 52/276, 686/582, 333/970

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 52/276,686/582,333/970

Given numbers are 52/276,686/582,333/970

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 52,686,333

Least Common Multiple of Numerators i.e. LCM of 52,686,333 is 5939388.

GCF of Denominators means GCF of 276,582,970 as per the given fractions.

GCF of 276,582,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,686,333

LCM of Fractions 52/276,686/582,333/970 is 2969694

2 52, 686, 333
26, 343, 333

∴ So the LCM of the given numbers is 2 x 26 x 343 x 333 = 5939388

Least Common Multiple of 52,686,333 with GCF Formula

Least Common Multiple of 52,686,333 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 52,686,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,686,333) = 1

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

GCF(52,686,333) x common factors =1 x 2 = 2

LCM(52,686,333) = ( 52 × 686 × 333 ) / 2

LCM(52,686,333) = 11878776 / 2

LCM(52,686,333) = 5939388


Lets's calculate GCF of 276,582,970

2 276, 582, 970
138, 291, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5939388/2

Therefore the LCM of Fractions 52/276,686/582,333/970 is 2969694

Greatest Common Factor of 276,582,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,582,970 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 276,582,970 . The biggest common factor number is the GCF number.
So the greatest common factor 276,582,970 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 52/276, 686/582, 333/970

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 52/276, 686/582, 333/970?

Answer: LCM of Numerators as per given numbers 52/276, 686/582, 333/970 is

LCM of Numerators i.e. for 52,686,333 is 5939388

GCF of denominators i.e. for 276,582,970 is 2.

Thus, LCM of Fractions is 2969694.Finally, LCM of Fractions for 52/276, 686/582, 333/970 is 2969694.