Least Common Multiple of 90/68, 50/493, 518/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/68, 50/493, 518/723 quickly i.e. 116550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/68, 50/493, 518/723 is 116550.

LCM(90/68, 50/493, 518/723) = 116550

LCM of 90/68, 50/493, 518/723

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 90/68,50/493,518/723

Given numbers are 90/68,50/493,518/723

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 90,50,518

Least Common Multiple of Numerators i.e. LCM of 90,50,518 is 116550.

GCF of Denominators means GCF of 68,493,723 as per the given fractions.

GCF of 68,493,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,50,518

LCM of Fractions 90/68,50/493,518/723 is 116550

2 90, 50, 518
5 45, 25, 259
9, 5, 259

∴ So the LCM of the given numbers is 2 x 5 x 9 x 5 x 259 = 116550

Least Common Multiple of 90,50,518 with GCF Formula

Least Common Multiple of 90,50,518 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 90,50,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,50,518) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(90,50,518) x common factors =2 x 10 = 20

LCM(90,50,518) = ( 90 × 50 × 518 ) / 20

LCM(90,50,518) = 2331000 / 20

LCM(90,50,518) = 116550


Lets's calculate GCF of 68,493,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116550/1

Therefore the LCM of Fractions 90/68,50/493,518/723 is 116550

Greatest Common Factor of 68,493,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,493,723 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 68,493,723 . The biggest common factor number is the GCF number.
So the greatest common factor 68,493,723 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 90/68, 50/493, 518/723

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 90/68, 50/493, 518/723?

Answer: LCM of Numerators as per given numbers 90/68, 50/493, 518/723 is

LCM of Numerators i.e. for 90,50,518 is 116550

GCF of denominators i.e. for 68,493,723 is 1.

Thus, LCM of Fractions is 116550.Finally, LCM of Fractions for 90/68, 50/493, 518/723 is 116550.