Least Common Multiple of 78/292, 7827/2672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/292, 7827/2672 quickly i.e. 203502/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/292, 7827/2672 is 203502/4.

LCM(78/292, 7827/2672) = 203502/4

LCM of 78/292, 7827/2672

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 78/292,7827/2672

Given numbers are 78/292,7827/2672

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 78,7827

Least Common Multiple of Numerators i.e. LCM of 78,7827 is 203502.

GCF of Denominators means GCF of 292,2672 as per the given fractions.

GCF of 292,2672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,7827

LCM of Fractions 78/292,7827/2672 is 203502/4

3 78, 7827
26, 2609

∴ So the LCM of the given numbers is 3 x 26 x 2609 = 203502

Least Common Multiple of 78,7827 with GCF Formula

Least Common Multiple of 78,7827 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 78,7827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7827) = 3

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

GCF(78,7827) x common factors =3 x 1 = 3

LCM(78,7827) = ( 78 × 7827 ) / 3

LCM(78,7827) = 610506 / 3

LCM(78,7827) = 203502


Lets's calculate GCF of 292,2672

2 292, 2672
2 146, 1336
73, 668

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203502/4

Therefore the LCM of Fractions 78/292,7827/2672 is 203502/4

Greatest Common Factor of 292,2672 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,2672 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1,2,4,8,16,167,334,668,1336,2672

Greatest Common Factor

We found the factors 292,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 292,2672 is 4.


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 78/292, 7827/2672

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 78/292, 7827/2672?

Answer: LCM of Numerators as per given numbers 78/292, 7827/2672 is

LCM of Numerators i.e. for 78,7827 is 203502

GCF of denominators i.e. for 292,2672 is 4.

Thus, LCM of Fractions is 203502/4.Finally, LCM of Fractions for 78/292, 7827/2672 is 203502/4.