Least Common Multiple of 90/575, 28/701, 219/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/575, 28/701, 219/513 quickly i.e. 91980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/575, 28/701, 219/513 is 91980.

LCM(90/575, 28/701, 219/513) = 91980

LCM of 90/575, 28/701, 219/513

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 90/575,28/701,219/513

Given numbers are 90/575,28/701,219/513

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 90,28,219

Least Common Multiple of Numerators i.e. LCM of 90,28,219 is 91980.

GCF of Denominators means GCF of 575,701,513 as per the given fractions.

GCF of 575,701,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,28,219

LCM of Fractions 90/575,28/701,219/513 is 91980

2 90, 28, 219
3 45, 14, 219
15, 14, 73

∴ So the LCM of the given numbers is 2 x 3 x 15 x 14 x 73 = 91980

Least Common Multiple of 90,28,219 with GCF Formula

Least Common Multiple of 90,28,219 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 90,28,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,28,219) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,28,219) x common factors =1 x 6 = 6

LCM(90,28,219) = ( 90 × 28 × 219 ) / 6

LCM(90,28,219) = 551880 / 6

LCM(90,28,219) = 91980


Lets's calculate GCF of 575,701,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91980/1

Therefore the LCM of Fractions 90/575,28/701,219/513 is 91980

Greatest Common Factor of 575,701,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,701,513 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 575,701,513 . The biggest common factor number is the GCF number.
So the greatest common factor 575,701,513 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 90/575, 28/701, 219/513

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 90/575, 28/701, 219/513?

Answer: LCM of Numerators as per given numbers 90/575, 28/701, 219/513 is

LCM of Numerators i.e. for 90,28,219 is 91980

GCF of denominators i.e. for 575,701,513 is 1.

Thus, LCM of Fractions is 91980.Finally, LCM of Fractions for 90/575, 28/701, 219/513 is 91980.