Least Common Multiple of 13/74, 468/94, 981/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/74, 468/94, 981/502 quickly i.e. 25506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/74, 468/94, 981/502 is 25506.

LCM(13/74, 468/94, 981/502) = 25506

LCM of 13/74, 468/94, 981/502

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 13/74,468/94,981/502

Given numbers are 13/74,468/94,981/502

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 13,468,981

Least Common Multiple of Numerators i.e. LCM of 13,468,981 is 51012.

GCF of Denominators means GCF of 74,94,502 as per the given fractions.

GCF of 74,94,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,468,981

LCM of Fractions 13/74,468/94,981/502 is 25506

3 13, 468, 981
3 13, 156, 327
13 13, 52, 109
1, 4, 109

∴ So the LCM of the given numbers is 3 x 3 x 13 x 1 x 4 x 109 = 51012

Least Common Multiple of 13,468,981 with GCF Formula

Least Common Multiple of 13,468,981 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 13,468,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,468,981) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(13,468,981) x common factors =1 x 117 = 117

LCM(13,468,981) = ( 13 × 468 × 981 ) / 117

LCM(13,468,981) = 5968404 / 117

LCM(13,468,981) = 51012


Lets's calculate GCF of 74,94,502

2 74, 94, 502
37, 47, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51012/2

Therefore the LCM of Fractions 13/74,468/94,981/502 is 25506

Greatest Common Factor of 74,94,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,94,502 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 74,94,502 . The biggest common factor number is the GCF number.
So the greatest common factor 74,94,502 is 2.


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 13/74, 468/94, 981/502

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 13/74, 468/94, 981/502?

Answer: LCM of Numerators as per given numbers 13/74, 468/94, 981/502 is

LCM of Numerators i.e. for 13,468,981 is 51012

GCF of denominators i.e. for 74,94,502 is 2.

Thus, LCM of Fractions is 25506.Finally, LCM of Fractions for 13/74, 468/94, 981/502 is 25506.