Least Common Multiple of 171/578, 1877/5359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/578, 1877/5359 quickly i.e. 320967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/578, 1877/5359 is 320967.

LCM(171/578, 1877/5359) = 320967

LCM of 171/578, 1877/5359

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 171/578,1877/5359

Given numbers are 171/578,1877/5359

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 171,1877

Least Common Multiple of Numerators i.e. LCM of 171,1877 is 320967.

GCF of Denominators means GCF of 578,5359 as per the given fractions.

GCF of 578,5359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,1877

LCM of Fractions 171/578,1877/5359 is 320967

Given numbers has no common factors except 1. So, there LCM is their product i.e 320967

Least Common Multiple of 171,1877 with GCF Formula

Least Common Multiple of 171,1877 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 171,1877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,1877) = 1

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

GCF(171,1877) x common factors =1 x 1 = 1

LCM(171,1877) = ( 171 × 1877 ) / 1

LCM(171,1877) = 320967 / 1

LCM(171,1877) = 320967


Lets's calculate GCF of 578,5359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320967/1

Therefore the LCM of Fractions 171/578,1877/5359 is 320967

Greatest Common Factor of 578,5359 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,5359 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1,23,233,5359

Greatest Common Factor

We found the factors 578,5359 . The biggest common factor number is the GCF number.
So the greatest common factor 578,5359 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 171/578, 1877/5359

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 171/578, 1877/5359?

Answer: LCM of Numerators as per given numbers 171/578, 1877/5359 is

LCM of Numerators i.e. for 171,1877 is 320967

GCF of denominators i.e. for 578,5359 is 1.

Thus, LCM of Fractions is 320967.Finally, LCM of Fractions for 171/578, 1877/5359 is 320967.