Least Common Multiple of 498/83, 398/67, 591/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/83, 398/67, 591/31 quickly i.e. 19523094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/83, 398/67, 591/31 is 19523094.

LCM(498/83, 398/67, 591/31) = 19523094

LCM of 498/83, 398/67, 591/31

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 498/83,398/67,591/31

Given numbers are 498/83,398/67,591/31

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 498,398,591

Least Common Multiple of Numerators i.e. LCM of 498,398,591 is 19523094.

GCF of Denominators means GCF of 83,67,31 as per the given fractions.

GCF of 83,67,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,398,591

LCM of Fractions 498/83,398/67,591/31 is 19523094

2 498, 398, 591
3 249, 199, 591
83, 199, 197

∴ So the LCM of the given numbers is 2 x 3 x 83 x 199 x 197 = 19523094

Least Common Multiple of 498,398,591 with GCF Formula

Least Common Multiple of 498,398,591 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 498,398,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,398,591) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(498,398,591) x common factors =1 x 6 = 6

LCM(498,398,591) = ( 498 × 398 × 591 ) / 6

LCM(498,398,591) = 117138564 / 6

LCM(498,398,591) = 19523094


Lets's calculate GCF of 83,67,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19523094/1

Therefore the LCM of Fractions 498/83,398/67,591/31 is 19523094

Greatest Common Factor of 83,67,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,67,31 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 83,67,31 . The biggest common factor number is the GCF number.
So the greatest common factor 83,67,31 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 498/83, 398/67, 591/31

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 498/83, 398/67, 591/31?

Answer: LCM of Numerators as per given numbers 498/83, 398/67, 591/31 is

LCM of Numerators i.e. for 498,398,591 is 19523094

GCF of denominators i.e. for 83,67,31 is 1.

Thus, LCM of Fractions is 19523094.Finally, LCM of Fractions for 498/83, 398/67, 591/31 is 19523094.