Least Common Multiple of 90/109, 930/327, 250/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/109, 930/327, 250/733 quickly i.e. 69750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/109, 930/327, 250/733 is 69750.

LCM(90/109, 930/327, 250/733) = 69750

LCM of 90/109, 930/327, 250/733

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 90/109,930/327,250/733

Given numbers are 90/109,930/327,250/733

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 90,930,250

Least Common Multiple of Numerators i.e. LCM of 90,930,250 is 69750.

GCF of Denominators means GCF of 109,327,733 as per the given fractions.

GCF of 109,327,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,930,250

LCM of Fractions 90/109,930/327,250/733 is 69750

2 90, 930, 250
3 45, 465, 125
5 15, 155, 125
3, 31, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 31 x 25 = 69750

Least Common Multiple of 90,930,250 with GCF Formula

Least Common Multiple of 90,930,250 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 90,930,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,930,250) = 10

common factors(in case of two or more numbers have common factors) = 30

GCF(90,930,250) x common factors =10 x 30 = 300

LCM(90,930,250) = ( 90 × 930 × 250 ) / 300

LCM(90,930,250) = 20925000 / 300

LCM(90,930,250) = 69750


Lets's calculate GCF of 109,327,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69750/1

Therefore the LCM of Fractions 90/109,930/327,250/733 is 69750

Greatest Common Factor of 109,327,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,327,733 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 109,327,733 . The biggest common factor number is the GCF number.
So the greatest common factor 109,327,733 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 90/109, 930/327, 250/733

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 90/109, 930/327, 250/733?

Answer: LCM of Numerators as per given numbers 90/109, 930/327, 250/733 is

LCM of Numerators i.e. for 90,930,250 is 69750

GCF of denominators i.e. for 109,327,733 is 1.

Thus, LCM of Fractions is 69750.Finally, LCM of Fractions for 90/109, 930/327, 250/733 is 69750.