Least Common Multiple of 675/78, 267/36, 678/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/78, 267/36, 678/869 quickly i.e. 13576950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/78, 267/36, 678/869 is 13576950.

LCM(675/78, 267/36, 678/869) = 13576950

LCM of 675/78, 267/36, 678/869

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 675/78,267/36,678/869

Given numbers are 675/78,267/36,678/869

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 675,267,678

Least Common Multiple of Numerators i.e. LCM of 675,267,678 is 13576950.

GCF of Denominators means GCF of 78,36,869 as per the given fractions.

GCF of 78,36,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,267,678

LCM of Fractions 675/78,267/36,678/869 is 13576950

3 675, 267, 678
225, 89, 226

∴ So the LCM of the given numbers is 3 x 225 x 89 x 226 = 13576950

Least Common Multiple of 675,267,678 with GCF Formula

Least Common Multiple of 675,267,678 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 675,267,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,267,678) = 3

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

GCF(675,267,678) x common factors =3 x 3 = 9

LCM(675,267,678) = ( 675 × 267 × 678 ) / 9

LCM(675,267,678) = 122192550 / 9

LCM(675,267,678) = 13576950


Lets's calculate GCF of 78,36,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13576950/1

Therefore the LCM of Fractions 675/78,267/36,678/869 is 13576950

Greatest Common Factor of 78,36,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,36,869 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 78,36,869 . The biggest common factor number is the GCF number.
So the greatest common factor 78,36,869 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 675/78, 267/36, 678/869

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 675/78, 267/36, 678/869?

Answer: LCM of Numerators as per given numbers 675/78, 267/36, 678/869 is

LCM of Numerators i.e. for 675,267,678 is 13576950

GCF of denominators i.e. for 78,36,869 is 1.

Thus, LCM of Fractions is 13576950.Finally, LCM of Fractions for 675/78, 267/36, 678/869 is 13576950.