Least Common Multiple of 520/854, 7060/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/854, 7060/738 quickly i.e. 91780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/854, 7060/738 is 91780.

LCM(520/854, 7060/738) = 91780

LCM of 520/854, 7060/738

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 520/854,7060/738

Given numbers are 520/854,7060/738

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 520,7060

Least Common Multiple of Numerators i.e. LCM of 520,7060 is 183560.

GCF of Denominators means GCF of 854,738 as per the given fractions.

GCF of 854,738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,7060

LCM of Fractions 520/854,7060/738 is 91780

2 520, 7060
2 260, 3530
5 130, 1765
26, 353

∴ So the LCM of the given numbers is 2 x 2 x 5 x 26 x 353 = 183560

Least Common Multiple of 520,7060 with GCF Formula

Least Common Multiple of 520,7060 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 520,7060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,7060) = 20

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

GCF(520,7060) x common factors =20 x 1 = 20

LCM(520,7060) = ( 520 × 7060 ) / 20

LCM(520,7060) = 3671200 / 20

LCM(520,7060) = 183560


Lets's calculate GCF of 854,738

2 854, 738
427, 369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183560/2

Therefore the LCM of Fractions 520/854,7060/738 is 91780

Greatest Common Factor of 854,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,738 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 854,738 . The biggest common factor number is the GCF number.
So the greatest common factor 854,738 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 520/854, 7060/738

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 520/854, 7060/738?

Answer: LCM of Numerators as per given numbers 520/854, 7060/738 is

LCM of Numerators i.e. for 520,7060 is 183560

GCF of denominators i.e. for 854,738 is 2.

Thus, LCM of Fractions is 91780.Finally, LCM of Fractions for 520/854, 7060/738 is 91780.