Least Common Multiple of 564/70, 486/5921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/70, 486/5921 quickly i.e. 45684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/70, 486/5921 is 45684.

LCM(564/70, 486/5921) = 45684

LCM of 564/70, 486/5921

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 564/70,486/5921

Given numbers are 564/70,486/5921

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 564,486

Least Common Multiple of Numerators i.e. LCM of 564,486 is 45684.

GCF of Denominators means GCF of 70,5921 as per the given fractions.

GCF of 70,5921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,486

LCM of Fractions 564/70,486/5921 is 45684

2 564, 486
3 282, 243
94, 81

∴ So the LCM of the given numbers is 2 x 3 x 94 x 81 = 45684

Least Common Multiple of 564,486 with GCF Formula

Least Common Multiple of 564,486 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 564,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,486) = 6

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

GCF(564,486) x common factors =6 x 1 = 6

LCM(564,486) = ( 564 × 486 ) / 6

LCM(564,486) = 274104 / 6

LCM(564,486) = 45684


Lets's calculate GCF of 70,5921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45684/1

Therefore the LCM of Fractions 564/70,486/5921 is 45684

Greatest Common Factor of 70,5921 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5921 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5921

List of positive integer factors of 5921 that divides 5921 without a remainder.

1,31,191,5921

Greatest Common Factor

We found the factors 70,5921 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5921 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 564/70, 486/5921

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 564/70, 486/5921?

Answer: LCM of Numerators as per given numbers 564/70, 486/5921 is

LCM of Numerators i.e. for 564,486 is 45684

GCF of denominators i.e. for 70,5921 is 1.

Thus, LCM of Fractions is 45684.Finally, LCM of Fractions for 564/70, 486/5921 is 45684.