Least Common Multiple of 97/725, 40/507, 860/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/725, 40/507, 860/782 quickly i.e. 166840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/725, 40/507, 860/782 is 166840.

LCM(97/725, 40/507, 860/782) = 166840

LCM of 97/725, 40/507, 860/782

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 97/725,40/507,860/782

Given numbers are 97/725,40/507,860/782

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 97,40,860

Least Common Multiple of Numerators i.e. LCM of 97,40,860 is 166840.

GCF of Denominators means GCF of 725,507,782 as per the given fractions.

GCF of 725,507,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,40,860

LCM of Fractions 97/725,40/507,860/782 is 166840

2 97, 40, 860
2 97, 20, 430
5 97, 10, 215
97, 2, 43

∴ So the LCM of the given numbers is 2 x 2 x 5 x 97 x 2 x 43 = 166840

Least Common Multiple of 97,40,860 with GCF Formula

Least Common Multiple of 97,40,860 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 97,40,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,40,860) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(97,40,860) x common factors =1 x 20 = 20

LCM(97,40,860) = ( 97 × 40 × 860 ) / 20

LCM(97,40,860) = 3336800 / 20

LCM(97,40,860) = 166840


Lets's calculate GCF of 725,507,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166840/1

Therefore the LCM of Fractions 97/725,40/507,860/782 is 166840

Greatest Common Factor of 725,507,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,507,782 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 725,507,782 . The biggest common factor number is the GCF number.
So the greatest common factor 725,507,782 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 97/725, 40/507, 860/782

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 97/725, 40/507, 860/782?

Answer: LCM of Numerators as per given numbers 97/725, 40/507, 860/782 is

LCM of Numerators i.e. for 97,40,860 is 166840

GCF of denominators i.e. for 725,507,782 is 1.

Thus, LCM of Fractions is 166840.Finally, LCM of Fractions for 97/725, 40/507, 860/782 is 166840.