Least Common Multiple of 790/856, 7180/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 790/856, 7180/934 quickly i.e. 283610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/856, 7180/934 is 283610.

LCM(790/856, 7180/934) = 283610

LCM of 790/856, 7180/934

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 790/856,7180/934

Given numbers are 790/856,7180/934

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 790,7180

Least Common Multiple of Numerators i.e. LCM of 790,7180 is 567220.

GCF of Denominators means GCF of 856,934 as per the given fractions.

GCF of 856,934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,7180

LCM of Fractions 790/856,7180/934 is 283610

2 790, 7180
5 395, 3590
79, 718

∴ So the LCM of the given numbers is 2 x 5 x 79 x 718 = 567220

Least Common Multiple of 790,7180 with GCF Formula

Least Common Multiple of 790,7180 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 790,7180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,7180) = 10

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

GCF(790,7180) x common factors =10 x 1 = 10

LCM(790,7180) = ( 790 × 7180 ) / 10

LCM(790,7180) = 5672200 / 10

LCM(790,7180) = 567220


Lets's calculate GCF of 856,934

2 856, 934
428, 467

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567220/2

Therefore the LCM of Fractions 790/856,7180/934 is 283610

Greatest Common Factor of 856,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,934 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 856,934 . The biggest common factor number is the GCF number.
So the greatest common factor 856,934 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 790/856, 7180/934

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 790/856, 7180/934?

Answer: LCM of Numerators as per given numbers 790/856, 7180/934 is

LCM of Numerators i.e. for 790,7180 is 567220

GCF of denominators i.e. for 856,934 is 2.

Thus, LCM of Fractions is 283610.Finally, LCM of Fractions for 790/856, 7180/934 is 283610.