Least Common Multiple of 83/501, 354/267, 649/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/501, 354/267, 649/689 quickly i.e. 323202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/501, 354/267, 649/689 is 323202.

LCM(83/501, 354/267, 649/689) = 323202

LCM of 83/501, 354/267, 649/689

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 83/501,354/267,649/689

Given numbers are 83/501,354/267,649/689

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 83,354,649

Least Common Multiple of Numerators i.e. LCM of 83,354,649 is 323202.

GCF of Denominators means GCF of 501,267,689 as per the given fractions.

GCF of 501,267,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,354,649

LCM of Fractions 83/501,354/267,649/689 is 323202

59 83, 354, 649
83, 6, 11

∴ So the LCM of the given numbers is 59 x 83 x 6 x 11 = 323202

Least Common Multiple of 83,354,649 with GCF Formula

Least Common Multiple of 83,354,649 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 83,354,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,354,649) = 1

common factors(in case of two or more numbers have common factors) = 59

GCF(83,354,649) x common factors =1 x 59 = 59

LCM(83,354,649) = ( 83 × 354 × 649 ) / 59

LCM(83,354,649) = 19068918 / 59

LCM(83,354,649) = 323202


Lets's calculate GCF of 501,267,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323202/1

Therefore the LCM of Fractions 83/501,354/267,649/689 is 323202

Greatest Common Factor of 501,267,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,267,689 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 501,267,689 . The biggest common factor number is the GCF number.
So the greatest common factor 501,267,689 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 83/501, 354/267, 649/689

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 83/501, 354/267, 649/689?

Answer: LCM of Numerators as per given numbers 83/501, 354/267, 649/689 is

LCM of Numerators i.e. for 83,354,649 is 323202

GCF of denominators i.e. for 501,267,689 is 1.

Thus, LCM of Fractions is 323202.Finally, LCM of Fractions for 83/501, 354/267, 649/689 is 323202.