Least Common Multiple of 8624/942, 8939/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8624/942, 8939/548 quickly i.e. 5506424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8624/942, 8939/548 is 5506424.

LCM(8624/942, 8939/548) = 5506424

LCM of 8624/942, 8939/548

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 8624/942,8939/548

Given numbers are 8624/942,8939/548

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 8624,8939

Least Common Multiple of Numerators i.e. LCM of 8624,8939 is 11012848.

GCF of Denominators means GCF of 942,548 as per the given fractions.

GCF of 942,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8624,8939

LCM of Fractions 8624/942,8939/548 is 5506424

7 8624, 8939
1232, 1277

∴ So the LCM of the given numbers is 7 x 1232 x 1277 = 11012848

Least Common Multiple of 8624,8939 with GCF Formula

Least Common Multiple of 8624,8939 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 8624,8939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8624,8939) = 7

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

GCF(8624,8939) x common factors =7 x 1 = 7

LCM(8624,8939) = ( 8624 × 8939 ) / 7

LCM(8624,8939) = 77089936 / 7

LCM(8624,8939) = 11012848


Lets's calculate GCF of 942,548

2 942, 548
471, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11012848/2

Therefore the LCM of Fractions 8624/942,8939/548 is 5506424

Greatest Common Factor of 942,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,548 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 942,548 . The biggest common factor number is the GCF number.
So the greatest common factor 942,548 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8624/942, 8939/548

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 8624/942, 8939/548?

Answer: LCM of Numerators as per given numbers 8624/942, 8939/548 is

LCM of Numerators i.e. for 8624,8939 is 11012848

GCF of denominators i.e. for 942,548 is 2.

Thus, LCM of Fractions is 5506424.Finally, LCM of Fractions for 8624/942, 8939/548 is 5506424.