Least Common Multiple of 1779/654, 7995/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1779/654, 7995/792 quickly i.e. 4741035/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1779/654, 7995/792 is 4741035/6.

LCM(1779/654, 7995/792) = 4741035/6

LCM of 1779/654, 7995/792

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 1779/654,7995/792

Given numbers are 1779/654,7995/792

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 1779,7995

Least Common Multiple of Numerators i.e. LCM of 1779,7995 is 4741035.

GCF of Denominators means GCF of 654,792 as per the given fractions.

GCF of 654,792 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1779,7995

LCM of Fractions 1779/654,7995/792 is 4741035/6

3 1779, 7995
593, 2665

∴ So the LCM of the given numbers is 3 x 593 x 2665 = 4741035

Least Common Multiple of 1779,7995 with GCF Formula

Least Common Multiple of 1779,7995 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 1779,7995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1779,7995) = 3

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

GCF(1779,7995) x common factors =3 x 1 = 3

LCM(1779,7995) = ( 1779 × 7995 ) / 3

LCM(1779,7995) = 14223105 / 3

LCM(1779,7995) = 4741035


Lets's calculate GCF of 654,792

2 654, 792
3 327, 396
109, 132

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4741035/6

Therefore the LCM of Fractions 1779/654,7995/792 is 4741035/6

Greatest Common Factor of 654,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,792 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 654,792 . The biggest common factor number is the GCF number.
So the greatest common factor 654,792 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1779/654, 7995/792

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 1779/654, 7995/792?

Answer: LCM of Numerators as per given numbers 1779/654, 7995/792 is

LCM of Numerators i.e. for 1779,7995 is 4741035

GCF of denominators i.e. for 654,792 is 6.

Thus, LCM of Fractions is 4741035/6.Finally, LCM of Fractions for 1779/654, 7995/792 is 4741035/6.