Least Common Multiple of 82/514, 666/748, 294/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/514, 666/748, 294/538 quickly i.e. 668997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/514, 666/748, 294/538 is 668997.

LCM(82/514, 666/748, 294/538) = 668997

LCM of 82/514, 666/748, 294/538

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 82/514,666/748,294/538

Given numbers are 82/514,666/748,294/538

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 82,666,294

Least Common Multiple of Numerators i.e. LCM of 82,666,294 is 1337994.

GCF of Denominators means GCF of 514,748,538 as per the given fractions.

GCF of 514,748,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,666,294

LCM of Fractions 82/514,666/748,294/538 is 668997

2 82, 666, 294
3 41, 333, 147
41, 111, 49

∴ So the LCM of the given numbers is 2 x 3 x 41 x 111 x 49 = 1337994

Least Common Multiple of 82,666,294 with GCF Formula

Least Common Multiple of 82,666,294 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 82,666,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,666,294) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(82,666,294) x common factors =2 x 6 = 12

LCM(82,666,294) = ( 82 × 666 × 294 ) / 12

LCM(82,666,294) = 16055928 / 12

LCM(82,666,294) = 1337994


Lets's calculate GCF of 514,748,538

2 514, 748, 538
257, 374, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1337994/2

Therefore the LCM of Fractions 82/514,666/748,294/538 is 668997

Greatest Common Factor of 514,748,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,748,538 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 514,748,538 . The biggest common factor number is the GCF number.
So the greatest common factor 514,748,538 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 82/514, 666/748, 294/538

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 82/514, 666/748, 294/538?

Answer: LCM of Numerators as per given numbers 82/514, 666/748, 294/538 is

LCM of Numerators i.e. for 82,666,294 is 1337994

GCF of denominators i.e. for 514,748,538 is 2.

Thus, LCM of Fractions is 668997.Finally, LCM of Fractions for 82/514, 666/748, 294/538 is 668997.