Least Common Multiple of 13/468, 492/676, 760/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/468, 492/676, 760/948 quickly i.e. 303810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/468, 492/676, 760/948 is 303810.

LCM(13/468, 492/676, 760/948) = 303810

LCM of 13/468, 492/676, 760/948

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 13/468,492/676,760/948

Given numbers are 13/468,492/676,760/948

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 13,492,760

Least Common Multiple of Numerators i.e. LCM of 13,492,760 is 1215240.

GCF of Denominators means GCF of 468,676,948 as per the given fractions.

GCF of 468,676,948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,492,760

LCM of Fractions 13/468,492/676,760/948 is 303810

2 13, 492, 760
2 13, 246, 380
13, 123, 190

∴ So the LCM of the given numbers is 2 x 2 x 13 x 123 x 190 = 1215240

Least Common Multiple of 13,492,760 with GCF Formula

Least Common Multiple of 13,492,760 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 13,492,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,492,760) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,492,760) x common factors =1 x 4 = 4

LCM(13,492,760) = ( 13 × 492 × 760 ) / 4

LCM(13,492,760) = 4860960 / 4

LCM(13,492,760) = 1215240


Lets's calculate GCF of 468,676,948

2 468, 676, 948
2 234, 338, 474
117, 169, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1215240/4

Therefore the LCM of Fractions 13/468,492/676,760/948 is 303810

Greatest Common Factor of 468,676,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,676,948 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 468,676,948 . The biggest common factor number is the GCF number.
So the greatest common factor 468,676,948 is 4.


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 13/468, 492/676, 760/948

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 13/468, 492/676, 760/948?

Answer: LCM of Numerators as per given numbers 13/468, 492/676, 760/948 is

LCM of Numerators i.e. for 13,492,760 is 1215240

GCF of denominators i.e. for 468,676,948 is 4.

Thus, LCM of Fractions is 303810.Finally, LCM of Fractions for 13/468, 492/676, 760/948 is 303810.