Least Common Multiple of 520/75, 307/88, 859/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/75, 307/88, 859/111 quickly i.e. 137130760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/75, 307/88, 859/111 is 137130760.

LCM(520/75, 307/88, 859/111) = 137130760

LCM of 520/75, 307/88, 859/111

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 520/75,307/88,859/111

Given numbers are 520/75,307/88,859/111

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 520,307,859

Least Common Multiple of Numerators i.e. LCM of 520,307,859 is 137130760.

GCF of Denominators means GCF of 75,88,111 as per the given fractions.

GCF of 75,88,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,307,859

LCM of Fractions 520/75,307/88,859/111 is 137130760

Given numbers has no common factors except 1. So, there LCM is their product i.e 137130760

Least Common Multiple of 520,307,859 with GCF Formula

Least Common Multiple of 520,307,859 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 520,307,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,307,859) = 1

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

GCF(520,307,859) x common factors =1 x 1 = 1

LCM(520,307,859) = ( 520 × 307 × 859 ) / 1

LCM(520,307,859) = 137130760 / 1

LCM(520,307,859) = 137130760


Lets's calculate GCF of 75,88,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137130760/1

Therefore the LCM of Fractions 520/75,307/88,859/111 is 137130760

Greatest Common Factor of 75,88,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,88,111 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 75,88,111 . The biggest common factor number is the GCF number.
So the greatest common factor 75,88,111 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 520/75, 307/88, 859/111

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 520/75, 307/88, 859/111?

Answer: LCM of Numerators as per given numbers 520/75, 307/88, 859/111 is

LCM of Numerators i.e. for 520,307,859 is 137130760

GCF of denominators i.e. for 75,88,111 is 1.

Thus, LCM of Fractions is 137130760.Finally, LCM of Fractions for 520/75, 307/88, 859/111 is 137130760.