Least Common Multiple of 90/733, 72/169, 838/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/733, 72/169, 838/314 quickly i.e. 150840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/733, 72/169, 838/314 is 150840.

LCM(90/733, 72/169, 838/314) = 150840

LCM of 90/733, 72/169, 838/314

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 90/733,72/169,838/314

Given numbers are 90/733,72/169,838/314

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 90,72,838

Least Common Multiple of Numerators i.e. LCM of 90,72,838 is 150840.

GCF of Denominators means GCF of 733,169,314 as per the given fractions.

GCF of 733,169,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,72,838

LCM of Fractions 90/733,72/169,838/314 is 150840

2 90, 72, 838
3 45, 36, 419
3 15, 12, 419
5, 4, 419

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 419 = 150840

Least Common Multiple of 90,72,838 with GCF Formula

Least Common Multiple of 90,72,838 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 90,72,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,72,838) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(90,72,838) x common factors =2 x 18 = 36

LCM(90,72,838) = ( 90 × 72 × 838 ) / 36

LCM(90,72,838) = 5430240 / 36

LCM(90,72,838) = 150840


Lets's calculate GCF of 733,169,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150840/1

Therefore the LCM of Fractions 90/733,72/169,838/314 is 150840

Greatest Common Factor of 733,169,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,169,314 By Matching Biggest Common Factor Method

Factors of 733

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

1,733

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 733,169,314 . The biggest common factor number is the GCF number.
So the greatest common factor 733,169,314 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 90/733, 72/169, 838/314

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 90/733, 72/169, 838/314?

Answer: LCM of Numerators as per given numbers 90/733, 72/169, 838/314 is

LCM of Numerators i.e. for 90,72,838 is 150840

GCF of denominators i.e. for 733,169,314 is 1.

Thus, LCM of Fractions is 150840.Finally, LCM of Fractions for 90/733, 72/169, 838/314 is 150840.