Least Common Multiple of 902/878, 938/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 902/878, 938/933 quickly i.e. 423038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/878, 938/933 is 423038.

LCM(902/878, 938/933) = 423038

LCM of 902/878, 938/933

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 902/878,938/933

Given numbers are 902/878,938/933

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 902,938

Least Common Multiple of Numerators i.e. LCM of 902,938 is 423038.

GCF of Denominators means GCF of 878,933 as per the given fractions.

GCF of 878,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,938

LCM of Fractions 902/878,938/933 is 423038

2 902, 938
451, 469

∴ So the LCM of the given numbers is 2 x 451 x 469 = 423038

Least Common Multiple of 902,938 with GCF Formula

Least Common Multiple of 902,938 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 902,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,938) = 2

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

GCF(902,938) x common factors =2 x 1 = 2

LCM(902,938) = ( 902 × 938 ) / 2

LCM(902,938) = 846076 / 2

LCM(902,938) = 423038


Lets's calculate GCF of 878,933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423038/1

Therefore the LCM of Fractions 902/878,938/933 is 423038

Greatest Common Factor of 878,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,933 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 878,933 . The biggest common factor number is the GCF number.
So the greatest common factor 878,933 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 902/878, 938/933

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 902/878, 938/933?

Answer: LCM of Numerators as per given numbers 902/878, 938/933 is

LCM of Numerators i.e. for 902,938 is 423038

GCF of denominators i.e. for 878,933 is 1.

Thus, LCM of Fractions is 423038.Finally, LCM of Fractions for 902/878, 938/933 is 423038.