Least Common Multiple of 873/679, 952/658, 219/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/679, 952/658, 219/392 quickly i.e. 8667144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/679, 952/658, 219/392 is 8667144.

LCM(873/679, 952/658, 219/392) = 8667144

LCM of 873/679, 952/658, 219/392

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 873/679,952/658,219/392

Given numbers are 873/679,952/658,219/392

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 873,952,219

Least Common Multiple of Numerators i.e. LCM of 873,952,219 is 60670008.

GCF of Denominators means GCF of 679,658,392 as per the given fractions.

GCF of 679,658,392 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,952,219

LCM of Fractions 873/679,952/658,219/392 is 8667144

3 873, 952, 219
291, 952, 73

∴ So the LCM of the given numbers is 3 x 291 x 952 x 73 = 60670008

Least Common Multiple of 873,952,219 with GCF Formula

Least Common Multiple of 873,952,219 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 873,952,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,952,219) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(873,952,219) x common factors =1 x 3 = 3

LCM(873,952,219) = ( 873 × 952 × 219 ) / 3

LCM(873,952,219) = 182010024 / 3

LCM(873,952,219) = 60670008


Lets's calculate GCF of 679,658,392

7 679, 658, 392
97, 94, 56

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60670008/7

Therefore the LCM of Fractions 873/679,952/658,219/392 is 8667144

Greatest Common Factor of 679,658,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,658,392 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 679,658,392 . The biggest common factor number is the GCF number.
So the greatest common factor 679,658,392 is 7.


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 873/679, 952/658, 219/392

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 873/679, 952/658, 219/392?

Answer: LCM of Numerators as per given numbers 873/679, 952/658, 219/392 is

LCM of Numerators i.e. for 873,952,219 is 60670008

GCF of denominators i.e. for 679,658,392 is 7.

Thus, LCM of Fractions is 8667144.Finally, LCM of Fractions for 873/679, 952/658, 219/392 is 8667144.