Least Common Multiple of 403/52, 854/1652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 403/52, 854/1652 quickly i.e. 344162/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/52, 854/1652 is 344162/4.

LCM(403/52, 854/1652) = 344162/4

LCM of 403/52, 854/1652

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 403/52,854/1652

Given numbers are 403/52,854/1652

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 403,854

Least Common Multiple of Numerators i.e. LCM of 403,854 is 344162.

GCF of Denominators means GCF of 52,1652 as per the given fractions.

GCF of 52,1652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,854

LCM of Fractions 403/52,854/1652 is 344162/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 344162

Least Common Multiple of 403,854 with GCF Formula

Least Common Multiple of 403,854 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 403,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,854) = 1

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

GCF(403,854) x common factors =1 x 1 = 1

LCM(403,854) = ( 403 × 854 ) / 1

LCM(403,854) = 344162 / 1

LCM(403,854) = 344162


Lets's calculate GCF of 52,1652

2 52, 1652
2 26, 826
13, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344162/4

Therefore the LCM of Fractions 403/52,854/1652 is 344162/4

Greatest Common Factor of 52,1652 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,1652 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 1652

List of positive integer factors of 1652 that divides 1652 without a remainder.

1,2,4,7,14,28,59,118,236,413,826,1652

Greatest Common Factor

We found the factors 52,1652 . The biggest common factor number is the GCF number.
So the greatest common factor 52,1652 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 403/52, 854/1652

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 403/52, 854/1652?

Answer: LCM of Numerators as per given numbers 403/52, 854/1652 is

LCM of Numerators i.e. for 403,854 is 344162

GCF of denominators i.e. for 52,1652 is 4.

Thus, LCM of Fractions is 344162/4.Finally, LCM of Fractions for 403/52, 854/1652 is 344162/4.