Least Common Multiple of 854/89, 902/1866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 854/89, 902/1866 quickly i.e. 385154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/89, 902/1866 is 385154.

LCM(854/89, 902/1866) = 385154

LCM of 854/89, 902/1866

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 854/89,902/1866

Given numbers are 854/89,902/1866

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 854,902

Least Common Multiple of Numerators i.e. LCM of 854,902 is 385154.

GCF of Denominators means GCF of 89,1866 as per the given fractions.

GCF of 89,1866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,902

LCM of Fractions 854/89,902/1866 is 385154

2 854, 902
427, 451

∴ So the LCM of the given numbers is 2 x 427 x 451 = 385154

Least Common Multiple of 854,902 with GCF Formula

Least Common Multiple of 854,902 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 854,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,902) = 2

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

GCF(854,902) x common factors =2 x 1 = 2

LCM(854,902) = ( 854 × 902 ) / 2

LCM(854,902) = 770308 / 2

LCM(854,902) = 385154


Lets's calculate GCF of 89,1866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385154/1

Therefore the LCM of Fractions 854/89,902/1866 is 385154

Greatest Common Factor of 89,1866 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,1866 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 1866

List of positive integer factors of 1866 that divides 1866 without a remainder.

1,2,3,6,311,622,933,1866

Greatest Common Factor

We found the factors 89,1866 . The biggest common factor number is the GCF number.
So the greatest common factor 89,1866 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 854/89, 902/1866

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 854/89, 902/1866?

Answer: LCM of Numerators as per given numbers 854/89, 902/1866 is

LCM of Numerators i.e. for 854,902 is 385154

GCF of denominators i.e. for 89,1866 is 1.

Thus, LCM of Fractions is 385154.Finally, LCM of Fractions for 854/89, 902/1866 is 385154.