Least Common Multiple of 856/578, 849/899, 187/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 856/578, 849/899, 187/814 quickly i.e. 135901128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/578, 849/899, 187/814 is 135901128.

LCM(856/578, 849/899, 187/814) = 135901128

LCM of 856/578, 849/899, 187/814

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 856/578,849/899,187/814

Given numbers are 856/578,849/899,187/814

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 856,849,187

Least Common Multiple of Numerators i.e. LCM of 856,849,187 is 135901128.

GCF of Denominators means GCF of 578,899,814 as per the given fractions.

GCF of 578,899,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,849,187

LCM of Fractions 856/578,849/899,187/814 is 135901128

Given numbers has no common factors except 1. So, there LCM is their product i.e 135901128

Least Common Multiple of 856,849,187 with GCF Formula

Least Common Multiple of 856,849,187 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 856,849,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,849,187) = 1

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

GCF(856,849,187) x common factors =1 x 1 = 1

LCM(856,849,187) = ( 856 × 849 × 187 ) / 1

LCM(856,849,187) = 135901128 / 1

LCM(856,849,187) = 135901128


Lets's calculate GCF of 578,899,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135901128/1

Therefore the LCM of Fractions 856/578,849/899,187/814 is 135901128

Greatest Common Factor of 578,899,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,899,814 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 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 578,899,814 . The biggest common factor number is the GCF number.
So the greatest common factor 578,899,814 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 856/578, 849/899, 187/814

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 856/578, 849/899, 187/814?

Answer: LCM of Numerators as per given numbers 856/578, 849/899, 187/814 is

LCM of Numerators i.e. for 856,849,187 is 135901128

GCF of denominators i.e. for 578,899,814 is 1.

Thus, LCM of Fractions is 135901128.Finally, LCM of Fractions for 856/578, 849/899, 187/814 is 135901128.