Least Common Multiple of 787/279, 7321/8370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 787/279, 7321/8370 quickly i.e. 5761627/279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/279, 7321/8370 is 5761627/279.

LCM(787/279, 7321/8370) = 5761627/279

LCM of 787/279, 7321/8370

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 787/279,7321/8370

Given numbers are 787/279,7321/8370

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 787,7321

Least Common Multiple of Numerators i.e. LCM of 787,7321 is 5761627.

GCF of Denominators means GCF of 279,8370 as per the given fractions.

GCF of 279,8370 is 279 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,7321

LCM of Fractions 787/279,7321/8370 is 5761627/279

Given numbers has no common factors except 1. So, there LCM is their product i.e 5761627

Least Common Multiple of 787,7321 with GCF Formula

Least Common Multiple of 787,7321 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 787,7321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,7321) = 1

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

GCF(787,7321) x common factors =1 x 1 = 1

LCM(787,7321) = ( 787 × 7321 ) / 1

LCM(787,7321) = 5761627 / 1

LCM(787,7321) = 5761627


Lets's calculate GCF of 279,8370

3 279, 8370
3 93, 2790
31 31, 930
1, 30

∴ So the GCF of the given numbers is 3 x 3 x 31 = 279

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5761627/279

Therefore the LCM of Fractions 787/279,7321/8370 is 5761627/279

Greatest Common Factor of 279,8370 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,8370 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Greatest Common Factor

We found the factors 279,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 279,8370 is 279.


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 787/279, 7321/8370

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 787/279, 7321/8370?

Answer: LCM of Numerators as per given numbers 787/279, 7321/8370 is

LCM of Numerators i.e. for 787,7321 is 5761627

GCF of denominators i.e. for 279,8370 is 279.

Thus, LCM of Fractions is 5761627/279.Finally, LCM of Fractions for 787/279, 7321/8370 is 5761627/279.