Least Common Multiple of 49/481, 76/450, 117/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/481, 76/450, 117/591 quickly i.e. 435708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/481, 76/450, 117/591 is 435708.

LCM(49/481, 76/450, 117/591) = 435708

LCM of 49/481, 76/450, 117/591

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 49/481,76/450,117/591

Given numbers are 49/481,76/450,117/591

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 49,76,117

Least Common Multiple of Numerators i.e. LCM of 49,76,117 is 435708.

GCF of Denominators means GCF of 481,450,591 as per the given fractions.

GCF of 481,450,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,76,117

LCM of Fractions 49/481,76/450,117/591 is 435708

Given numbers has no common factors except 1. So, there LCM is their product i.e 435708

Least Common Multiple of 49,76,117 with GCF Formula

Least Common Multiple of 49,76,117 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 49,76,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,76,117) = 1

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

GCF(49,76,117) x common factors =1 x 1 = 1

LCM(49,76,117) = ( 49 × 76 × 117 ) / 1

LCM(49,76,117) = 435708 / 1

LCM(49,76,117) = 435708


Lets's calculate GCF of 481,450,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435708/1

Therefore the LCM of Fractions 49/481,76/450,117/591 is 435708

Greatest Common Factor of 481,450,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,450,591 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

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 481,450,591 . The biggest common factor number is the GCF number.
So the greatest common factor 481,450,591 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 49/481, 76/450, 117/591

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 49/481, 76/450, 117/591?

Answer: LCM of Numerators as per given numbers 49/481, 76/450, 117/591 is

LCM of Numerators i.e. for 49,76,117 is 435708

GCF of denominators i.e. for 481,450,591 is 1.

Thus, LCM of Fractions is 435708.Finally, LCM of Fractions for 49/481, 76/450, 117/591 is 435708.