Least Common Multiple of 268/43, 312/60, 878/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/43, 312/60, 878/360 quickly i.e. 9176856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/43, 312/60, 878/360 is 9176856.

LCM(268/43, 312/60, 878/360) = 9176856

LCM of 268/43, 312/60, 878/360

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 268/43,312/60,878/360

Given numbers are 268/43,312/60,878/360

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 268,312,878

Least Common Multiple of Numerators i.e. LCM of 268,312,878 is 9176856.

GCF of Denominators means GCF of 43,60,360 as per the given fractions.

GCF of 43,60,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,312,878

LCM of Fractions 268/43,312/60,878/360 is 9176856

2 268, 312, 878
2 134, 156, 439
67, 78, 439

∴ So the LCM of the given numbers is 2 x 2 x 67 x 78 x 439 = 9176856

Least Common Multiple of 268,312,878 with GCF Formula

Least Common Multiple of 268,312,878 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 268,312,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,312,878) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(268,312,878) x common factors =2 x 4 = 8

LCM(268,312,878) = ( 268 × 312 × 878 ) / 8

LCM(268,312,878) = 73414848 / 8

LCM(268,312,878) = 9176856


Lets's calculate GCF of 43,60,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9176856/1

Therefore the LCM of Fractions 268/43,312/60,878/360 is 9176856

Greatest Common Factor of 43,60,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,60,360 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 43,60,360 . The biggest common factor number is the GCF number.
So the greatest common factor 43,60,360 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 268/43, 312/60, 878/360

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 268/43, 312/60, 878/360?

Answer: LCM of Numerators as per given numbers 268/43, 312/60, 878/360 is

LCM of Numerators i.e. for 268,312,878 is 9176856

GCF of denominators i.e. for 43,60,360 is 1.

Thus, LCM of Fractions is 9176856.Finally, LCM of Fractions for 268/43, 312/60, 878/360 is 9176856.