Least Common Multiple of 650/42, 604/71, 726/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 650/42, 604/71, 726/410 quickly i.e. 71256900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/42, 604/71, 726/410 is 71256900.

LCM(650/42, 604/71, 726/410) = 71256900

LCM of 650/42, 604/71, 726/410

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 650/42,604/71,726/410

Given numbers are 650/42,604/71,726/410

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 650,604,726

Least Common Multiple of Numerators i.e. LCM of 650,604,726 is 71256900.

GCF of Denominators means GCF of 42,71,410 as per the given fractions.

GCF of 42,71,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,604,726

LCM of Fractions 650/42,604/71,726/410 is 71256900

2 650, 604, 726
325, 302, 363

∴ So the LCM of the given numbers is 2 x 325 x 302 x 363 = 71256900

Least Common Multiple of 650,604,726 with GCF Formula

Least Common Multiple of 650,604,726 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 650,604,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,604,726) = 2

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

GCF(650,604,726) x common factors =2 x 2 = 4

LCM(650,604,726) = ( 650 × 604 × 726 ) / 4

LCM(650,604,726) = 285027600 / 4

LCM(650,604,726) = 71256900


Lets's calculate GCF of 42,71,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71256900/1

Therefore the LCM of Fractions 650/42,604/71,726/410 is 71256900

Greatest Common Factor of 42,71,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,71,410 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 42,71,410 . The biggest common factor number is the GCF number.
So the greatest common factor 42,71,410 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 650/42, 604/71, 726/410

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 650/42, 604/71, 726/410?

Answer: LCM of Numerators as per given numbers 650/42, 604/71, 726/410 is

LCM of Numerators i.e. for 650,604,726 is 71256900

GCF of denominators i.e. for 42,71,410 is 1.

Thus, LCM of Fractions is 71256900.Finally, LCM of Fractions for 650/42, 604/71, 726/410 is 71256900.