Least Common Multiple of 90/579, 8685/6572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/579, 8685/6572 quickly i.e. 17370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/579, 8685/6572 is 17370.

LCM(90/579, 8685/6572) = 17370

LCM of 90/579, 8685/6572

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 90/579,8685/6572

Given numbers are 90/579,8685/6572

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 90,8685

Least Common Multiple of Numerators i.e. LCM of 90,8685 is 17370.

GCF of Denominators means GCF of 579,6572 as per the given fractions.

GCF of 579,6572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,8685

LCM of Fractions 90/579,8685/6572 is 17370

3 90, 8685
3 30, 2895
5 10, 965
2, 193

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 193 = 17370

Least Common Multiple of 90,8685 with GCF Formula

Least Common Multiple of 90,8685 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 90,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,8685) = 45

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

GCF(90,8685) x common factors =45 x 1 = 45

LCM(90,8685) = ( 90 × 8685 ) / 45

LCM(90,8685) = 781650 / 45

LCM(90,8685) = 17370


Lets's calculate GCF of 579,6572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17370/1

Therefore the LCM of Fractions 90/579,8685/6572 is 17370

Greatest Common Factor of 579,6572 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,6572 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 6572

List of positive integer factors of 6572 that divides 6572 without a remainder.

1,2,4,31,53,62,106,124,212,1643,3286,6572

Greatest Common Factor

We found the factors 579,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 579,6572 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/579, 8685/6572

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 90/579, 8685/6572?

Answer: LCM of Numerators as per given numbers 90/579, 8685/6572 is

LCM of Numerators i.e. for 90,8685 is 17370

GCF of denominators i.e. for 579,6572 is 1.

Thus, LCM of Fractions is 17370.Finally, LCM of Fractions for 90/579, 8685/6572 is 17370.