Least Common Multiple of 577/789, 161/460, 818/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/789, 161/460, 818/698 quickly i.e. 75989746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/789, 161/460, 818/698 is 75989746.

LCM(577/789, 161/460, 818/698) = 75989746

LCM of 577/789, 161/460, 818/698

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 577/789,161/460,818/698

Given numbers are 577/789,161/460,818/698

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 577,161,818

Least Common Multiple of Numerators i.e. LCM of 577,161,818 is 75989746.

GCF of Denominators means GCF of 789,460,698 as per the given fractions.

GCF of 789,460,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,161,818

LCM of Fractions 577/789,161/460,818/698 is 75989746

Given numbers has no common factors except 1. So, there LCM is their product i.e 75989746

Least Common Multiple of 577,161,818 with GCF Formula

Least Common Multiple of 577,161,818 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 577,161,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,161,818) = 1

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

GCF(577,161,818) x common factors =1 x 1 = 1

LCM(577,161,818) = ( 577 × 161 × 818 ) / 1

LCM(577,161,818) = 75989746 / 1

LCM(577,161,818) = 75989746


Lets's calculate GCF of 789,460,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75989746/1

Therefore the LCM of Fractions 577/789,161/460,818/698 is 75989746

Greatest Common Factor of 789,460,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,460,698 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 789,460,698 . The biggest common factor number is the GCF number.
So the greatest common factor 789,460,698 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 577/789, 161/460, 818/698

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 577/789, 161/460, 818/698?

Answer: LCM of Numerators as per given numbers 577/789, 161/460, 818/698 is

LCM of Numerators i.e. for 577,161,818 is 75989746

GCF of denominators i.e. for 789,460,698 is 1.

Thus, LCM of Fractions is 75989746.Finally, LCM of Fractions for 577/789, 161/460, 818/698 is 75989746.