Least Common Multiple of 744/90, 768/5556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/90, 768/5556 quickly i.e. 3968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/90, 768/5556 is 3968.

LCM(744/90, 768/5556) = 3968

LCM of 744/90, 768/5556

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 744/90,768/5556

Given numbers are 744/90,768/5556

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 744,768

Least Common Multiple of Numerators i.e. LCM of 744,768 is 23808.

GCF of Denominators means GCF of 90,5556 as per the given fractions.

GCF of 90,5556 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,768

LCM of Fractions 744/90,768/5556 is 3968

2 744, 768
2 372, 384
2 186, 192
3 93, 96
31, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 32 = 23808

Least Common Multiple of 744,768 with GCF Formula

Least Common Multiple of 744,768 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 744,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,768) = 24

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

GCF(744,768) x common factors =24 x 1 = 24

LCM(744,768) = ( 744 × 768 ) / 24

LCM(744,768) = 571392 / 24

LCM(744,768) = 23808


Lets's calculate GCF of 90,5556

2 90, 5556
3 45, 2778
15, 926

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23808/6

Therefore the LCM of Fractions 744/90,768/5556 is 3968

Greatest Common Factor of 90,5556 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5556 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 5556

List of positive integer factors of 5556 that divides 5556 without a remainder.

1,2,3,4,6,12,463,926,1389,1852,2778,5556

Greatest Common Factor

We found the factors 90,5556 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5556 is 6.


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 744/90, 768/5556

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 744/90, 768/5556?

Answer: LCM of Numerators as per given numbers 744/90, 768/5556 is

LCM of Numerators i.e. for 744,768 is 23808

GCF of denominators i.e. for 90,5556 is 6.

Thus, LCM of Fractions is 3968.Finally, LCM of Fractions for 744/90, 768/5556 is 3968.