Least Common Multiple of 790/615, 7663/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 790/615, 7663/774 quickly i.e. 76630/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/615, 7663/774 is 76630/3.

LCM(790/615, 7663/774) = 76630/3

LCM of 790/615, 7663/774

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 790/615,7663/774

Given numbers are 790/615,7663/774

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 790,7663

Least Common Multiple of Numerators i.e. LCM of 790,7663 is 76630.

GCF of Denominators means GCF of 615,774 as per the given fractions.

GCF of 615,774 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,7663

LCM of Fractions 790/615,7663/774 is 76630/3

79 790, 7663
10, 97

∴ So the LCM of the given numbers is 79 x 10 x 97 = 76630

Least Common Multiple of 790,7663 with GCF Formula

Least Common Multiple of 790,7663 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 790,7663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,7663) = 79

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

GCF(790,7663) x common factors =79 x 1 = 79

LCM(790,7663) = ( 790 × 7663 ) / 79

LCM(790,7663) = 6053770 / 79

LCM(790,7663) = 76630


Lets's calculate GCF of 615,774

3 615, 774
205, 258

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76630/3

Therefore the LCM of Fractions 790/615,7663/774 is 76630/3

Greatest Common Factor of 615,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,774 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 615,774 . The biggest common factor number is the GCF number.
So the greatest common factor 615,774 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 790/615, 7663/774

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 790/615, 7663/774?

Answer: LCM of Numerators as per given numbers 790/615, 7663/774 is

LCM of Numerators i.e. for 790,7663 is 76630

GCF of denominators i.e. for 615,774 is 3.

Thus, LCM of Fractions is 76630/3.Finally, LCM of Fractions for 790/615, 7663/774 is 76630/3.