Least Common Multiple of 83/74, 367/57, 649/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/74, 367/57, 649/260 quickly i.e. 19769189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/74, 367/57, 649/260 is 19769189.

LCM(83/74, 367/57, 649/260) = 19769189

LCM of 83/74, 367/57, 649/260

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 83/74,367/57,649/260

Given numbers are 83/74,367/57,649/260

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 83,367,649

Least Common Multiple of Numerators i.e. LCM of 83,367,649 is 19769189.

GCF of Denominators means GCF of 74,57,260 as per the given fractions.

GCF of 74,57,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,367,649

LCM of Fractions 83/74,367/57,649/260 is 19769189

Given numbers has no common factors except 1. So, there LCM is their product i.e 19769189

Least Common Multiple of 83,367,649 with GCF Formula

Least Common Multiple of 83,367,649 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 83,367,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,367,649) = 1

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

GCF(83,367,649) x common factors =1 x 1 = 1

LCM(83,367,649) = ( 83 × 367 × 649 ) / 1

LCM(83,367,649) = 19769189 / 1

LCM(83,367,649) = 19769189


Lets's calculate GCF of 74,57,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19769189/1

Therefore the LCM of Fractions 83/74,367/57,649/260 is 19769189

Greatest Common Factor of 74,57,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,57,260 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 74,57,260 . The biggest common factor number is the GCF number.
So the greatest common factor 74,57,260 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 83/74, 367/57, 649/260

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 83/74, 367/57, 649/260?

Answer: LCM of Numerators as per given numbers 83/74, 367/57, 649/260 is

LCM of Numerators i.e. for 83,367,649 is 19769189

GCF of denominators i.e. for 74,57,260 is 1.

Thus, LCM of Fractions is 19769189.Finally, LCM of Fractions for 83/74, 367/57, 649/260 is 19769189.