Least Common Multiple of 74/100, 35/727, 217/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/100, 35/727, 217/537 quickly i.e. 80290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/100, 35/727, 217/537 is 80290.

LCM(74/100, 35/727, 217/537) = 80290

LCM of 74/100, 35/727, 217/537

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 74/100,35/727,217/537

Given numbers are 74/100,35/727,217/537

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 74,35,217

Least Common Multiple of Numerators i.e. LCM of 74,35,217 is 80290.

GCF of Denominators means GCF of 100,727,537 as per the given fractions.

GCF of 100,727,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,35,217

LCM of Fractions 74/100,35/727,217/537 is 80290

7 74, 35, 217
74, 5, 31

∴ So the LCM of the given numbers is 7 x 74 x 5 x 31 = 80290

Least Common Multiple of 74,35,217 with GCF Formula

Least Common Multiple of 74,35,217 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 74,35,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,35,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(74,35,217) x common factors =1 x 7 = 7

LCM(74,35,217) = ( 74 × 35 × 217 ) / 7

LCM(74,35,217) = 562030 / 7

LCM(74,35,217) = 80290


Lets's calculate GCF of 100,727,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80290/1

Therefore the LCM of Fractions 74/100,35/727,217/537 is 80290

Greatest Common Factor of 100,727,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,727,537 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 100,727,537 . The biggest common factor number is the GCF number.
So the greatest common factor 100,727,537 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 74/100, 35/727, 217/537

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 74/100, 35/727, 217/537?

Answer: LCM of Numerators as per given numbers 74/100, 35/727, 217/537 is

LCM of Numerators i.e. for 74,35,217 is 80290

GCF of denominators i.e. for 100,727,537 is 1.

Thus, LCM of Fractions is 80290.Finally, LCM of Fractions for 74/100, 35/727, 217/537 is 80290.