Least Common Multiple of 76/80, 13/940, 705/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/80, 13/940, 705/103 quickly i.e. 696540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/80, 13/940, 705/103 is 696540.

LCM(76/80, 13/940, 705/103) = 696540

LCM of 76/80, 13/940, 705/103

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 76/80,13/940,705/103

Given numbers are 76/80,13/940,705/103

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 76,13,705

Least Common Multiple of Numerators i.e. LCM of 76,13,705 is 696540.

GCF of Denominators means GCF of 80,940,103 as per the given fractions.

GCF of 80,940,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,13,705

LCM of Fractions 76/80,13/940,705/103 is 696540

Given numbers has no common factors except 1. So, there LCM is their product i.e 696540

Least Common Multiple of 76,13,705 with GCF Formula

Least Common Multiple of 76,13,705 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 76,13,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,13,705) = 1

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

GCF(76,13,705) x common factors =1 x 1 = 1

LCM(76,13,705) = ( 76 × 13 × 705 ) / 1

LCM(76,13,705) = 696540 / 1

LCM(76,13,705) = 696540


Lets's calculate GCF of 80,940,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696540/1

Therefore the LCM of Fractions 76/80,13/940,705/103 is 696540

Greatest Common Factor of 80,940,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,940,103 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 80,940,103 . The biggest common factor number is the GCF number.
So the greatest common factor 80,940,103 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 76/80, 13/940, 705/103

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 76/80, 13/940, 705/103?

Answer: LCM of Numerators as per given numbers 76/80, 13/940, 705/103 is

LCM of Numerators i.e. for 76,13,705 is 696540

GCF of denominators i.e. for 80,940,103 is 1.

Thus, LCM of Fractions is 696540.Finally, LCM of Fractions for 76/80, 13/940, 705/103 is 696540.