Least Common Multiple of 877/755, 513/959, 814/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 877/755, 513/959, 814/906 quickly i.e. 366219414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/755, 513/959, 814/906 is 366219414.

LCM(877/755, 513/959, 814/906) = 366219414

LCM of 877/755, 513/959, 814/906

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 877/755,513/959,814/906

Given numbers are 877/755,513/959,814/906

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 877,513,814

Least Common Multiple of Numerators i.e. LCM of 877,513,814 is 366219414.

GCF of Denominators means GCF of 755,959,906 as per the given fractions.

GCF of 755,959,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,513,814

LCM of Fractions 877/755,513/959,814/906 is 366219414

Given numbers has no common factors except 1. So, there LCM is their product i.e 366219414

Least Common Multiple of 877,513,814 with GCF Formula

Least Common Multiple of 877,513,814 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 877,513,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,513,814) = 1

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

GCF(877,513,814) x common factors =1 x 1 = 1

LCM(877,513,814) = ( 877 × 513 × 814 ) / 1

LCM(877,513,814) = 366219414 / 1

LCM(877,513,814) = 366219414


Lets's calculate GCF of 755,959,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366219414/1

Therefore the LCM of Fractions 877/755,513/959,814/906 is 366219414

Greatest Common Factor of 755,959,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,959,906 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 755,959,906 . The biggest common factor number is the GCF number.
So the greatest common factor 755,959,906 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 877/755, 513/959, 814/906

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 877/755, 513/959, 814/906?

Answer: LCM of Numerators as per given numbers 877/755, 513/959, 814/906 is

LCM of Numerators i.e. for 877,513,814 is 366219414

GCF of denominators i.e. for 755,959,906 is 1.

Thus, LCM of Fractions is 366219414.Finally, LCM of Fractions for 877/755, 513/959, 814/906 is 366219414.