Least Common Multiple of 877/23, 395/28, 201/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 877/23, 395/28, 201/976 quickly i.e. 69629415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/23, 395/28, 201/976 is 69629415.

LCM(877/23, 395/28, 201/976) = 69629415

LCM of 877/23, 395/28, 201/976

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 877/23,395/28,201/976

Given numbers are 877/23,395/28,201/976

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 877,395,201

Least Common Multiple of Numerators i.e. LCM of 877,395,201 is 69629415.

GCF of Denominators means GCF of 23,28,976 as per the given fractions.

GCF of 23,28,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,395,201

LCM of Fractions 877/23,395/28,201/976 is 69629415

Given numbers has no common factors except 1. So, there LCM is their product i.e 69629415

Least Common Multiple of 877,395,201 with GCF Formula

Least Common Multiple of 877,395,201 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 877,395,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,395,201) = 1

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

GCF(877,395,201) x common factors =1 x 1 = 1

LCM(877,395,201) = ( 877 × 395 × 201 ) / 1

LCM(877,395,201) = 69629415 / 1

LCM(877,395,201) = 69629415


Lets's calculate GCF of 23,28,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69629415/1

Therefore the LCM of Fractions 877/23,395/28,201/976 is 69629415

Greatest Common Factor of 23,28,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,28,976 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 23,28,976 . The biggest common factor number is the GCF number.
So the greatest common factor 23,28,976 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 877/23, 395/28, 201/976

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 877/23, 395/28, 201/976?

Answer: LCM of Numerators as per given numbers 877/23, 395/28, 201/976 is

LCM of Numerators i.e. for 877,395,201 is 69629415

GCF of denominators i.e. for 23,28,976 is 1.

Thus, LCM of Fractions is 69629415.Finally, LCM of Fractions for 877/23, 395/28, 201/976 is 69629415.