Least Common Multiple of 520/58, 722/26, 733/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 520/58, 722/26, 733/137 quickly i.e. 137598760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/58, 722/26, 733/137 is 137598760.

LCM(520/58, 722/26, 733/137) = 137598760

LCM of 520/58, 722/26, 733/137

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 520/58,722/26,733/137

Given numbers are 520/58,722/26,733/137

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 520,722,733

Least Common Multiple of Numerators i.e. LCM of 520,722,733 is 137598760.

GCF of Denominators means GCF of 58,26,137 as per the given fractions.

GCF of 58,26,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,722,733

LCM of Fractions 520/58,722/26,733/137 is 137598760

2 520, 722, 733
260, 361, 733

∴ So the LCM of the given numbers is 2 x 260 x 361 x 733 = 137598760

Least Common Multiple of 520,722,733 with GCF Formula

Least Common Multiple of 520,722,733 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 520,722,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,722,733) = 1

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

GCF(520,722,733) x common factors =1 x 2 = 2

LCM(520,722,733) = ( 520 × 722 × 733 ) / 2

LCM(520,722,733) = 275197520 / 2

LCM(520,722,733) = 137598760


Lets's calculate GCF of 58,26,137

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137598760/1

Therefore the LCM of Fractions 520/58,722/26,733/137 is 137598760

Greatest Common Factor of 58,26,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,26,137 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 58,26,137 . The biggest common factor number is the GCF number.
So the greatest common factor 58,26,137 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 520/58, 722/26, 733/137

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 520/58, 722/26, 733/137?

Answer: LCM of Numerators as per given numbers 520/58, 722/26, 733/137 is

LCM of Numerators i.e. for 520,722,733 is 137598760

GCF of denominators i.e. for 58,26,137 is 1.

Thus, LCM of Fractions is 137598760.Finally, LCM of Fractions for 520/58, 722/26, 733/137 is 137598760.