Least Common Multiple of 768/48, 905/40, 316/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/48, 905/40, 316/591 quickly i.e. 54908160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/48, 905/40, 316/591 is 54908160.

LCM(768/48, 905/40, 316/591) = 54908160

LCM of 768/48, 905/40, 316/591

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 768/48,905/40,316/591

Given numbers are 768/48,905/40,316/591

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 768,905,316

Least Common Multiple of Numerators i.e. LCM of 768,905,316 is 54908160.

GCF of Denominators means GCF of 48,40,591 as per the given fractions.

GCF of 48,40,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,905,316

LCM of Fractions 768/48,905/40,316/591 is 54908160

2 768, 905, 316
2 384, 905, 158
192, 905, 79

∴ So the LCM of the given numbers is 2 x 2 x 192 x 905 x 79 = 54908160

Least Common Multiple of 768,905,316 with GCF Formula

Least Common Multiple of 768,905,316 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 768,905,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,905,316) = 1

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

GCF(768,905,316) x common factors =1 x 4 = 4

LCM(768,905,316) = ( 768 × 905 × 316 ) / 4

LCM(768,905,316) = 219632640 / 4

LCM(768,905,316) = 54908160


Lets's calculate GCF of 48,40,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54908160/1

Therefore the LCM of Fractions 768/48,905/40,316/591 is 54908160

Greatest Common Factor of 48,40,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,40,591 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 48,40,591 . The biggest common factor number is the GCF number.
So the greatest common factor 48,40,591 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 768/48, 905/40, 316/591

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 768/48, 905/40, 316/591?

Answer: LCM of Numerators as per given numbers 768/48, 905/40, 316/591 is

LCM of Numerators i.e. for 768,905,316 is 54908160

GCF of denominators i.e. for 48,40,591 is 1.

Thus, LCM of Fractions is 54908160.Finally, LCM of Fractions for 768/48, 905/40, 316/591 is 54908160.