Least Common Multiple of 427/59, 481/64, 827/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/59, 481/64, 827/456 quickly i.e. 169855049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/59, 481/64, 827/456 is 169855049.

LCM(427/59, 481/64, 827/456) = 169855049

LCM of 427/59, 481/64, 827/456

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 427/59,481/64,827/456

Given numbers are 427/59,481/64,827/456

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 427,481,827

Least Common Multiple of Numerators i.e. LCM of 427,481,827 is 169855049.

GCF of Denominators means GCF of 59,64,456 as per the given fractions.

GCF of 59,64,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,481,827

LCM of Fractions 427/59,481/64,827/456 is 169855049

Given numbers has no common factors except 1. So, there LCM is their product i.e 169855049

Least Common Multiple of 427,481,827 with GCF Formula

Least Common Multiple of 427,481,827 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 427,481,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,481,827) = 1

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

GCF(427,481,827) x common factors =1 x 1 = 1

LCM(427,481,827) = ( 427 × 481 × 827 ) / 1

LCM(427,481,827) = 169855049 / 1

LCM(427,481,827) = 169855049


Lets's calculate GCF of 59,64,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169855049/1

Therefore the LCM of Fractions 427/59,481/64,827/456 is 169855049

Greatest Common Factor of 59,64,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,64,456 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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

Greatest Common Factor

We found the factors 59,64,456 . The biggest common factor number is the GCF number.
So the greatest common factor 59,64,456 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 427/59, 481/64, 827/456

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 427/59, 481/64, 827/456?

Answer: LCM of Numerators as per given numbers 427/59, 481/64, 827/456 is

LCM of Numerators i.e. for 427,481,827 is 169855049

GCF of denominators i.e. for 59,64,456 is 1.

Thus, LCM of Fractions is 169855049.Finally, LCM of Fractions for 427/59, 481/64, 827/456 is 169855049.