Least Common Multiple of 586/54, 765/7472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/54, 765/7472 quickly i.e. 224145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/54, 765/7472 is 224145.

LCM(586/54, 765/7472) = 224145

LCM of 586/54, 765/7472

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 586/54,765/7472

Given numbers are 586/54,765/7472

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 586,765

Least Common Multiple of Numerators i.e. LCM of 586,765 is 448290.

GCF of Denominators means GCF of 54,7472 as per the given fractions.

GCF of 54,7472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,765

LCM of Fractions 586/54,765/7472 is 224145

Given numbers has no common factors except 1. So, there LCM is their product i.e 448290

Least Common Multiple of 586,765 with GCF Formula

Least Common Multiple of 586,765 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 586,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,765) = 1

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

GCF(586,765) x common factors =1 x 1 = 1

LCM(586,765) = ( 586 × 765 ) / 1

LCM(586,765) = 448290 / 1

LCM(586,765) = 448290


Lets's calculate GCF of 54,7472

2 54, 7472
27, 3736

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448290/2

Therefore the LCM of Fractions 586/54,765/7472 is 224145

Greatest Common Factor of 54,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7472 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 54,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7472 is 2.


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 586/54, 765/7472

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 586/54, 765/7472?

Answer: LCM of Numerators as per given numbers 586/54, 765/7472 is

LCM of Numerators i.e. for 586,765 is 448290

GCF of denominators i.e. for 54,7472 is 2.

Thus, LCM of Fractions is 224145.Finally, LCM of Fractions for 586/54, 765/7472 is 224145.