Least Common Multiple of 938/10, 518/6972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/10, 518/6972 quickly i.e. 17353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/10, 518/6972 is 17353.

LCM(938/10, 518/6972) = 17353

LCM of 938/10, 518/6972

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 938/10,518/6972

Given numbers are 938/10,518/6972

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 938,518

Least Common Multiple of Numerators i.e. LCM of 938,518 is 34706.

GCF of Denominators means GCF of 10,6972 as per the given fractions.

GCF of 10,6972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,518

LCM of Fractions 938/10,518/6972 is 17353

2 938, 518
7 469, 259
67, 37

∴ So the LCM of the given numbers is 2 x 7 x 67 x 37 = 34706

Least Common Multiple of 938,518 with GCF Formula

Least Common Multiple of 938,518 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 938,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,518) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(938,518) x common factors =14 x 1 = 14

LCM(938,518) = ( 938 × 518 ) / 14

LCM(938,518) = 485884 / 14

LCM(938,518) = 34706


Lets's calculate GCF of 10,6972

2 10, 6972
5, 3486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34706/2

Therefore the LCM of Fractions 938/10,518/6972 is 17353

Greatest Common Factor of 10,6972 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,6972 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors 10,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 10,6972 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 938/10, 518/6972

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 938/10, 518/6972?

Answer: LCM of Numerators as per given numbers 938/10, 518/6972 is

LCM of Numerators i.e. for 938,518 is 34706

GCF of denominators i.e. for 10,6972 is 2.

Thus, LCM of Fractions is 17353.Finally, LCM of Fractions for 938/10, 518/6972 is 17353.