Least Common Multiple of 81/807, 92/543, 398/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/807, 92/543, 398/580 quickly i.e. 1482948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/807, 92/543, 398/580 is 1482948.

LCM(81/807, 92/543, 398/580) = 1482948

LCM of 81/807, 92/543, 398/580

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 81/807,92/543,398/580

Given numbers are 81/807,92/543,398/580

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 81,92,398

Least Common Multiple of Numerators i.e. LCM of 81,92,398 is 1482948.

GCF of Denominators means GCF of 807,543,580 as per the given fractions.

GCF of 807,543,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,92,398

LCM of Fractions 81/807,92/543,398/580 is 1482948

2 81, 92, 398
81, 46, 199

∴ So the LCM of the given numbers is 2 x 81 x 46 x 199 = 1482948

Least Common Multiple of 81,92,398 with GCF Formula

Least Common Multiple of 81,92,398 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 81,92,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,92,398) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(81,92,398) x common factors =1 x 2 = 2

LCM(81,92,398) = ( 81 × 92 × 398 ) / 2

LCM(81,92,398) = 2965896 / 2

LCM(81,92,398) = 1482948


Lets's calculate GCF of 807,543,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1482948/1

Therefore the LCM of Fractions 81/807,92/543,398/580 is 1482948

Greatest Common Factor of 807,543,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,543,580 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 807,543,580 . The biggest common factor number is the GCF number.
So the greatest common factor 807,543,580 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 81/807, 92/543, 398/580

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 81/807, 92/543, 398/580?

Answer: LCM of Numerators as per given numbers 81/807, 92/543, 398/580 is

LCM of Numerators i.e. for 81,92,398 is 1482948

GCF of denominators i.e. for 807,543,580 is 1.

Thus, LCM of Fractions is 1482948.Finally, LCM of Fractions for 81/807, 92/543, 398/580 is 1482948.