Least Common Multiple of 877/295, 231/588, 417/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 877/295, 231/588, 417/164 quickly i.e. 28159593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/295, 231/588, 417/164 is 28159593.

LCM(877/295, 231/588, 417/164) = 28159593

LCM of 877/295, 231/588, 417/164

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 877/295,231/588,417/164

Given numbers are 877/295,231/588,417/164

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 877,231,417

Least Common Multiple of Numerators i.e. LCM of 877,231,417 is 28159593.

GCF of Denominators means GCF of 295,588,164 as per the given fractions.

GCF of 295,588,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,231,417

LCM of Fractions 877/295,231/588,417/164 is 28159593

3 877, 231, 417
877, 77, 139

∴ So the LCM of the given numbers is 3 x 877 x 77 x 139 = 28159593

Least Common Multiple of 877,231,417 with GCF Formula

Least Common Multiple of 877,231,417 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 877,231,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,231,417) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(877,231,417) x common factors =1 x 3 = 3

LCM(877,231,417) = ( 877 × 231 × 417 ) / 3

LCM(877,231,417) = 84478779 / 3

LCM(877,231,417) = 28159593


Lets's calculate GCF of 295,588,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28159593/1

Therefore the LCM of Fractions 877/295,231/588,417/164 is 28159593

Greatest Common Factor of 295,588,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,588,164 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 295,588,164 . The biggest common factor number is the GCF number.
So the greatest common factor 295,588,164 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 877/295, 231/588, 417/164

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 877/295, 231/588, 417/164?

Answer: LCM of Numerators as per given numbers 877/295, 231/588, 417/164 is

LCM of Numerators i.e. for 877,231,417 is 28159593

GCF of denominators i.e. for 295,588,164 is 1.

Thus, LCM of Fractions is 28159593.Finally, LCM of Fractions for 877/295, 231/588, 417/164 is 28159593.