Least Common Multiple of 131/70, 480/40, 838/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/70, 480/40, 838/892 quickly i.e. 13173360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/70, 480/40, 838/892 is 13173360.

LCM(131/70, 480/40, 838/892) = 13173360

LCM of 131/70, 480/40, 838/892

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 131/70,480/40,838/892

Given numbers are 131/70,480/40,838/892

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 131,480,838

Least Common Multiple of Numerators i.e. LCM of 131,480,838 is 26346720.

GCF of Denominators means GCF of 70,40,892 as per the given fractions.

GCF of 70,40,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,480,838

LCM of Fractions 131/70,480/40,838/892 is 13173360

2 131, 480, 838
131, 240, 419

∴ So the LCM of the given numbers is 2 x 131 x 240 x 419 = 26346720

Least Common Multiple of 131,480,838 with GCF Formula

Least Common Multiple of 131,480,838 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 131,480,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,480,838) = 1

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

GCF(131,480,838) x common factors =1 x 2 = 2

LCM(131,480,838) = ( 131 × 480 × 838 ) / 2

LCM(131,480,838) = 52693440 / 2

LCM(131,480,838) = 26346720


Lets's calculate GCF of 70,40,892

2 70, 40, 892
35, 20, 446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26346720/2

Therefore the LCM of Fractions 131/70,480/40,838/892 is 13173360

Greatest Common Factor of 70,40,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,40,892 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 40

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

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

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 70,40,892 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,892 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 131/70, 480/40, 838/892

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 131/70, 480/40, 838/892?

Answer: LCM of Numerators as per given numbers 131/70, 480/40, 838/892 is

LCM of Numerators i.e. for 131,480,838 is 26346720

GCF of denominators i.e. for 70,40,892 is 2.

Thus, LCM of Fractions is 13173360.Finally, LCM of Fractions for 131/70, 480/40, 838/892 is 13173360.