Least Common Multiple of 70/364, 76/325, 520/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/364, 76/325, 520/837 quickly i.e. 69160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/364, 76/325, 520/837 is 69160.

LCM(70/364, 76/325, 520/837) = 69160

LCM of 70/364, 76/325, 520/837

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 70/364,76/325,520/837

Given numbers are 70/364,76/325,520/837

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 70,76,520

Least Common Multiple of Numerators i.e. LCM of 70,76,520 is 69160.

GCF of Denominators means GCF of 364,325,837 as per the given fractions.

GCF of 364,325,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,76,520

LCM of Fractions 70/364,76/325,520/837 is 69160

2 70, 76, 520
2 35, 38, 260
5 35, 19, 130
7, 19, 26

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 19 x 26 = 69160

Least Common Multiple of 70,76,520 with GCF Formula

Least Common Multiple of 70,76,520 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 70,76,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,76,520) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(70,76,520) x common factors =2 x 20 = 40

LCM(70,76,520) = ( 70 × 76 × 520 ) / 40

LCM(70,76,520) = 2766400 / 40

LCM(70,76,520) = 69160


Lets's calculate GCF of 364,325,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69160/1

Therefore the LCM of Fractions 70/364,76/325,520/837 is 69160

Greatest Common Factor of 364,325,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,325,837 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 364,325,837 . The biggest common factor number is the GCF number.
So the greatest common factor 364,325,837 is 1.


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 70/364, 76/325, 520/837

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 70/364, 76/325, 520/837?

Answer: LCM of Numerators as per given numbers 70/364, 76/325, 520/837 is

LCM of Numerators i.e. for 70,76,520 is 69160

GCF of denominators i.e. for 364,325,837 is 1.

Thus, LCM of Fractions is 69160.Finally, LCM of Fractions for 70/364, 76/325, 520/837 is 69160.