Least Common Multiple of 939/61, 706/35, 660/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 939/61, 706/35, 660/502 quickly i.e. 72922740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 939/61, 706/35, 660/502 is 72922740.

LCM(939/61, 706/35, 660/502) = 72922740

LCM of 939/61, 706/35, 660/502

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 939/61,706/35,660/502

Given numbers are 939/61,706/35,660/502

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 939,706,660

Least Common Multiple of Numerators i.e. LCM of 939,706,660 is 72922740.

GCF of Denominators means GCF of 61,35,502 as per the given fractions.

GCF of 61,35,502 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 939,706,660

LCM of Fractions 939/61,706/35,660/502 is 72922740

2 939, 706, 660
3 939, 353, 330
313, 353, 110

∴ So the LCM of the given numbers is 2 x 3 x 313 x 353 x 110 = 72922740

Least Common Multiple of 939,706,660 with GCF Formula

Least Common Multiple of 939,706,660 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 939,706,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,706,660) = 1

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

GCF(939,706,660) x common factors =1 x 6 = 6

LCM(939,706,660) = ( 939 × 706 × 660 ) / 6

LCM(939,706,660) = 437536440 / 6

LCM(939,706,660) = 72922740


Lets's calculate GCF of 61,35,502

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72922740/1

Therefore the LCM of Fractions 939/61,706/35,660/502 is 72922740

Greatest Common Factor of 61,35,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,35,502 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 61,35,502 . The biggest common factor number is the GCF number.
So the greatest common factor 61,35,502 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 939/61, 706/35, 660/502

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 939/61, 706/35, 660/502?

Answer: LCM of Numerators as per given numbers 939/61, 706/35, 660/502 is

LCM of Numerators i.e. for 939,706,660 is 72922740

GCF of denominators i.e. for 61,35,502 is 1.

Thus, LCM of Fractions is 72922740.Finally, LCM of Fractions for 939/61, 706/35, 660/502 is 72922740.