Least Common Multiple of 591/469, 208/456, 821/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/469, 208/456, 821/159 quickly i.e. 100923888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/469, 208/456, 821/159 is 100923888.

LCM(591/469, 208/456, 821/159) = 100923888

LCM of 591/469, 208/456, 821/159

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 591/469,208/456,821/159

Given numbers are 591/469,208/456,821/159

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 591,208,821

Least Common Multiple of Numerators i.e. LCM of 591,208,821 is 100923888.

GCF of Denominators means GCF of 469,456,159 as per the given fractions.

GCF of 469,456,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,208,821

LCM of Fractions 591/469,208/456,821/159 is 100923888

Given numbers has no common factors except 1. So, there LCM is their product i.e 100923888

Least Common Multiple of 591,208,821 with GCF Formula

Least Common Multiple of 591,208,821 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 591,208,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,208,821) = 1

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

GCF(591,208,821) x common factors =1 x 1 = 1

LCM(591,208,821) = ( 591 × 208 × 821 ) / 1

LCM(591,208,821) = 100923888 / 1

LCM(591,208,821) = 100923888


Lets's calculate GCF of 469,456,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100923888/1

Therefore the LCM of Fractions 591/469,208/456,821/159 is 100923888

Greatest Common Factor of 469,456,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,456,159 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 469,456,159 . The biggest common factor number is the GCF number.
So the greatest common factor 469,456,159 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 591/469, 208/456, 821/159

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 591/469, 208/456, 821/159?

Answer: LCM of Numerators as per given numbers 591/469, 208/456, 821/159 is

LCM of Numerators i.e. for 591,208,821 is 100923888

GCF of denominators i.e. for 469,456,159 is 1.

Thus, LCM of Fractions is 100923888.Finally, LCM of Fractions for 591/469, 208/456, 821/159 is 100923888.