Least Common Multiple of 268/44, 7874/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/44, 7874/320 quickly i.e. 263779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/44, 7874/320 is 263779.

LCM(268/44, 7874/320) = 263779

LCM of 268/44, 7874/320

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 268/44,7874/320

Given numbers are 268/44,7874/320

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 268,7874

Least Common Multiple of Numerators i.e. LCM of 268,7874 is 1055116.

GCF of Denominators means GCF of 44,320 as per the given fractions.

GCF of 44,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,7874

LCM of Fractions 268/44,7874/320 is 263779

2 268, 7874
134, 3937

∴ So the LCM of the given numbers is 2 x 134 x 3937 = 1055116

Least Common Multiple of 268,7874 with GCF Formula

Least Common Multiple of 268,7874 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 268,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,7874) = 2

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

GCF(268,7874) x common factors =2 x 1 = 2

LCM(268,7874) = ( 268 × 7874 ) / 2

LCM(268,7874) = 2110232 / 2

LCM(268,7874) = 1055116


Lets's calculate GCF of 44,320

2 44, 320
2 22, 160
11, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055116/4

Therefore the LCM of Fractions 268/44,7874/320 is 263779

Greatest Common Factor of 44,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,320 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 44,320 . The biggest common factor number is the GCF number.
So the greatest common factor 44,320 is 4.


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 268/44, 7874/320

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 268/44, 7874/320?

Answer: LCM of Numerators as per given numbers 268/44, 7874/320 is

LCM of Numerators i.e. for 268,7874 is 1055116

GCF of denominators i.e. for 44,320 is 4.

Thus, LCM of Fractions is 263779.Finally, LCM of Fractions for 268/44, 7874/320 is 263779.