Least Common Multiple of 534/42, 404/39, 878/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 534/42, 404/39, 878/40 quickly i.e. 47354052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/42, 404/39, 878/40 is 47354052.

LCM(534/42, 404/39, 878/40) = 47354052

LCM of 534/42, 404/39, 878/40

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 534/42,404/39,878/40

Given numbers are 534/42,404/39,878/40

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 534,404,878

Least Common Multiple of Numerators i.e. LCM of 534,404,878 is 47354052.

GCF of Denominators means GCF of 42,39,40 as per the given fractions.

GCF of 42,39,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,404,878

LCM of Fractions 534/42,404/39,878/40 is 47354052

2 534, 404, 878
267, 202, 439

∴ So the LCM of the given numbers is 2 x 267 x 202 x 439 = 47354052

Least Common Multiple of 534,404,878 with GCF Formula

Least Common Multiple of 534,404,878 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 534,404,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,404,878) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(534,404,878) x common factors =2 x 2 = 4

LCM(534,404,878) = ( 534 × 404 × 878 ) / 4

LCM(534,404,878) = 189416208 / 4

LCM(534,404,878) = 47354052


Lets's calculate GCF of 42,39,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47354052/1

Therefore the LCM of Fractions 534/42,404/39,878/40 is 47354052

Greatest Common Factor of 42,39,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,39,40 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 42,39,40 . The biggest common factor number is the GCF number.
So the greatest common factor 42,39,40 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 534/42, 404/39, 878/40

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 534/42, 404/39, 878/40?

Answer: LCM of Numerators as per given numbers 534/42, 404/39, 878/40 is

LCM of Numerators i.e. for 534,404,878 is 47354052

GCF of denominators i.e. for 42,39,40 is 1.

Thus, LCM of Fractions is 47354052.Finally, LCM of Fractions for 534/42, 404/39, 878/40 is 47354052.