Least Common Multiple of 308/84, 939/7124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/84, 939/7124 quickly i.e. 72303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/84, 939/7124 is 72303.

LCM(308/84, 939/7124) = 72303

LCM of 308/84, 939/7124

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 308/84,939/7124

Given numbers are 308/84,939/7124

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 308,939

Least Common Multiple of Numerators i.e. LCM of 308,939 is 289212.

GCF of Denominators means GCF of 84,7124 as per the given fractions.

GCF of 84,7124 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,939

LCM of Fractions 308/84,939/7124 is 72303

Given numbers has no common factors except 1. So, there LCM is their product i.e 289212

Least Common Multiple of 308,939 with GCF Formula

Least Common Multiple of 308,939 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 308,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,939) = 1

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

GCF(308,939) x common factors =1 x 1 = 1

LCM(308,939) = ( 308 × 939 ) / 1

LCM(308,939) = 289212 / 1

LCM(308,939) = 289212


Lets's calculate GCF of 84,7124

2 84, 7124
2 42, 3562
21, 1781

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289212/4

Therefore the LCM of Fractions 308/84,939/7124 is 72303

Greatest Common Factor of 84,7124 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,7124 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1,2,4,13,26,52,137,274,548,1781,3562,7124

Greatest Common Factor

We found the factors 84,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7124 is 4.


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 308/84, 939/7124

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 308/84, 939/7124?

Answer: LCM of Numerators as per given numbers 308/84, 939/7124 is

LCM of Numerators i.e. for 308,939 is 289212

GCF of denominators i.e. for 84,7124 is 4.

Thus, LCM of Fractions is 72303.Finally, LCM of Fractions for 308/84, 939/7124 is 72303.