Least Common Multiple of 682/25, 507/54, 748/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/25, 507/54, 748/583 quickly i.e. 11756316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/25, 507/54, 748/583 is 11756316.

LCM(682/25, 507/54, 748/583) = 11756316

LCM of 682/25, 507/54, 748/583

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 682/25,507/54,748/583

Given numbers are 682/25,507/54,748/583

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 682,507,748

Least Common Multiple of Numerators i.e. LCM of 682,507,748 is 11756316.

GCF of Denominators means GCF of 25,54,583 as per the given fractions.

GCF of 25,54,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,507,748

LCM of Fractions 682/25,507/54,748/583 is 11756316

2 682, 507, 748
11 341, 507, 374
31, 507, 34

∴ So the LCM of the given numbers is 2 x 11 x 31 x 507 x 34 = 11756316

Least Common Multiple of 682,507,748 with GCF Formula

Least Common Multiple of 682,507,748 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 682,507,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,507,748) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(682,507,748) x common factors =1 x 22 = 22

LCM(682,507,748) = ( 682 × 507 × 748 ) / 22

LCM(682,507,748) = 258638952 / 22

LCM(682,507,748) = 11756316


Lets's calculate GCF of 25,54,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11756316/1

Therefore the LCM of Fractions 682/25,507/54,748/583 is 11756316

Greatest Common Factor of 25,54,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,54,583 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 25,54,583 . The biggest common factor number is the GCF number.
So the greatest common factor 25,54,583 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 682/25, 507/54, 748/583

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 682/25, 507/54, 748/583?

Answer: LCM of Numerators as per given numbers 682/25, 507/54, 748/583 is

LCM of Numerators i.e. for 682,507,748 is 11756316

GCF of denominators i.e. for 25,54,583 is 1.

Thus, LCM of Fractions is 11756316.Finally, LCM of Fractions for 682/25, 507/54, 748/583 is 11756316.