Least Common Multiple of 90/586, 52/455, 490/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/586, 52/455, 490/252 quickly i.e. 114660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/586, 52/455, 490/252 is 114660.

LCM(90/586, 52/455, 490/252) = 114660

LCM of 90/586, 52/455, 490/252

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 90/586,52/455,490/252

Given numbers are 90/586,52/455,490/252

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 90,52,490

Least Common Multiple of Numerators i.e. LCM of 90,52,490 is 114660.

GCF of Denominators means GCF of 586,455,252 as per the given fractions.

GCF of 586,455,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,52,490

LCM of Fractions 90/586,52/455,490/252 is 114660

2 90, 52, 490
5 45, 26, 245
9, 26, 49

∴ So the LCM of the given numbers is 2 x 5 x 9 x 26 x 49 = 114660

Least Common Multiple of 90,52,490 with GCF Formula

Least Common Multiple of 90,52,490 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 90,52,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,52,490) = 2

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

GCF(90,52,490) x common factors =2 x 10 = 20

LCM(90,52,490) = ( 90 × 52 × 490 ) / 20

LCM(90,52,490) = 2293200 / 20

LCM(90,52,490) = 114660


Lets's calculate GCF of 586,455,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114660/1

Therefore the LCM of Fractions 90/586,52/455,490/252 is 114660

Greatest Common Factor of 586,455,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,455,252 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 586,455,252 . The biggest common factor number is the GCF number.
So the greatest common factor 586,455,252 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 90/586, 52/455, 490/252

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 90/586, 52/455, 490/252?

Answer: LCM of Numerators as per given numbers 90/586, 52/455, 490/252 is

LCM of Numerators i.e. for 90,52,490 is 114660

GCF of denominators i.e. for 586,455,252 is 1.

Thus, LCM of Fractions is 114660.Finally, LCM of Fractions for 90/586, 52/455, 490/252 is 114660.