Least Common Multiple of 56/790, 75/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/790, 75/580 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/790, 75/580 is 420.

LCM(56/790, 75/580) = 420

LCM of 56/790, 75/580

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 56/790,75/580

Given numbers are 56/790,75/580

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 56,75

Least Common Multiple of Numerators i.e. LCM of 56,75 is 4200.

GCF of Denominators means GCF of 790,580 as per the given fractions.

GCF of 790,580 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,75

LCM of Fractions 56/790,75/580 is 420

Given numbers has no common factors except 1. So, there LCM is their product i.e 4200

Least Common Multiple of 56,75 with GCF Formula

Least Common Multiple of 56,75 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 56,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,75) = 1

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

GCF(56,75) x common factors =1 x 1 = 1

LCM(56,75) = ( 56 × 75 ) / 1

LCM(56,75) = 4200 / 1

LCM(56,75) = 4200


Lets's calculate GCF of 790,580

2 790, 580
5 395, 290
79, 58

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200/10

Therefore the LCM of Fractions 56/790,75/580 is 420

Greatest Common Factor of 790,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,580 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 790,580 . The biggest common factor number is the GCF number.
So the greatest common factor 790,580 is 10.


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 56/790, 75/580

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 56/790, 75/580?

Answer: LCM of Numerators as per given numbers 56/790, 75/580 is

LCM of Numerators i.e. for 56,75 is 4200

GCF of denominators i.e. for 790,580 is 10.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 56/790, 75/580 is 420.