Least Common Multiple of 876/33, 878/60, 679/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/33, 878/60, 679/317 quickly i.e. 261118956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/33, 878/60, 679/317 is 261118956.

LCM(876/33, 878/60, 679/317) = 261118956

LCM of 876/33, 878/60, 679/317

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 876/33,878/60,679/317

Given numbers are 876/33,878/60,679/317

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 876,878,679

Least Common Multiple of Numerators i.e. LCM of 876,878,679 is 261118956.

GCF of Denominators means GCF of 33,60,317 as per the given fractions.

GCF of 33,60,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,878,679

LCM of Fractions 876/33,878/60,679/317 is 261118956

2 876, 878, 679
438, 439, 679

∴ So the LCM of the given numbers is 2 x 438 x 439 x 679 = 261118956

Least Common Multiple of 876,878,679 with GCF Formula

Least Common Multiple of 876,878,679 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 876,878,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,878,679) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(876,878,679) x common factors =1 x 2 = 2

LCM(876,878,679) = ( 876 × 878 × 679 ) / 2

LCM(876,878,679) = 522237912 / 2

LCM(876,878,679) = 261118956


Lets's calculate GCF of 33,60,317

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261118956/1

Therefore the LCM of Fractions 876/33,878/60,679/317 is 261118956

Greatest Common Factor of 33,60,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,60,317 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 33,60,317 . The biggest common factor number is the GCF number.
So the greatest common factor 33,60,317 is 1.


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 876/33, 878/60, 679/317

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 876/33, 878/60, 679/317?

Answer: LCM of Numerators as per given numbers 876/33, 878/60, 679/317 is

LCM of Numerators i.e. for 876,878,679 is 261118956

GCF of denominators i.e. for 33,60,317 is 1.

Thus, LCM of Fractions is 261118956.Finally, LCM of Fractions for 876/33, 878/60, 679/317 is 261118956.