Least Common Multiple of 83/90, 16/287, 169/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/90, 16/287, 169/718 quickly i.e. 224432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/90, 16/287, 169/718 is 224432.

LCM(83/90, 16/287, 169/718) = 224432

LCM of 83/90, 16/287, 169/718

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 83/90,16/287,169/718

Given numbers are 83/90,16/287,169/718

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 83,16,169

Least Common Multiple of Numerators i.e. LCM of 83,16,169 is 224432.

GCF of Denominators means GCF of 90,287,718 as per the given fractions.

GCF of 90,287,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,16,169

LCM of Fractions 83/90,16/287,169/718 is 224432

Given numbers has no common factors except 1. So, there LCM is their product i.e 224432

Least Common Multiple of 83,16,169 with GCF Formula

Least Common Multiple of 83,16,169 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 83,16,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,16,169) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,16,169) x common factors =1 x 1 = 1

LCM(83,16,169) = ( 83 × 16 × 169 ) / 1

LCM(83,16,169) = 224432 / 1

LCM(83,16,169) = 224432


Lets's calculate GCF of 90,287,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224432/1

Therefore the LCM of Fractions 83/90,16/287,169/718 is 224432

Greatest Common Factor of 90,287,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,287,718 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 90,287,718 . The biggest common factor number is the GCF number.
So the greatest common factor 90,287,718 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 83/90, 16/287, 169/718

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 83/90, 16/287, 169/718?

Answer: LCM of Numerators as per given numbers 83/90, 16/287, 169/718 is

LCM of Numerators i.e. for 83,16,169 is 224432

GCF of denominators i.e. for 90,287,718 is 1.

Thus, LCM of Fractions is 224432.Finally, LCM of Fractions for 83/90, 16/287, 169/718 is 224432.