Least Common Multiple of 7376/255, 6968/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7376/255, 6968/444 quickly i.e. 6424496/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7376/255, 6968/444 is 6424496/3.

LCM(7376/255, 6968/444) = 6424496/3

LCM of 7376/255, 6968/444

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 7376/255,6968/444

Given numbers are 7376/255,6968/444

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 7376,6968

Least Common Multiple of Numerators i.e. LCM of 7376,6968 is 6424496.

GCF of Denominators means GCF of 255,444 as per the given fractions.

GCF of 255,444 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7376,6968

LCM of Fractions 7376/255,6968/444 is 6424496/3

2 7376, 6968
2 3688, 3484
2 1844, 1742
922, 871

∴ So the LCM of the given numbers is 2 x 2 x 2 x 922 x 871 = 6424496

Least Common Multiple of 7376,6968 with GCF Formula

Least Common Multiple of 7376,6968 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 7376,6968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7376,6968) = 8

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

GCF(7376,6968) x common factors =8 x 1 = 8

LCM(7376,6968) = ( 7376 × 6968 ) / 8

LCM(7376,6968) = 51395968 / 8

LCM(7376,6968) = 6424496


Lets's calculate GCF of 255,444

3 255, 444
85, 148

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6424496/3

Therefore the LCM of Fractions 7376/255,6968/444 is 6424496/3

Greatest Common Factor of 255,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,444 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 255,444 . The biggest common factor number is the GCF number.
So the greatest common factor 255,444 is 3.


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 7376/255, 6968/444

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 7376/255, 6968/444?

Answer: LCM of Numerators as per given numbers 7376/255, 6968/444 is

LCM of Numerators i.e. for 7376,6968 is 6424496

GCF of denominators i.e. for 255,444 is 3.

Thus, LCM of Fractions is 6424496/3.Finally, LCM of Fractions for 7376/255, 6968/444 is 6424496/3.