Least Common Multiple of 575/67, 387/59, 725/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/67, 387/59, 725/603 quickly i.e. 6453225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/67, 387/59, 725/603 is 6453225.

LCM(575/67, 387/59, 725/603) = 6453225

LCM of 575/67, 387/59, 725/603

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 575/67,387/59,725/603

Given numbers are 575/67,387/59,725/603

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 575,387,725

Least Common Multiple of Numerators i.e. LCM of 575,387,725 is 6453225.

GCF of Denominators means GCF of 67,59,603 as per the given fractions.

GCF of 67,59,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,387,725

LCM of Fractions 575/67,387/59,725/603 is 6453225

5 575, 387, 725
5 115, 387, 145
23, 387, 29

∴ So the LCM of the given numbers is 5 x 5 x 23 x 387 x 29 = 6453225

Least Common Multiple of 575,387,725 with GCF Formula

Least Common Multiple of 575,387,725 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 575,387,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,387,725) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(575,387,725) x common factors =1 x 25 = 25

LCM(575,387,725) = ( 575 × 387 × 725 ) / 25

LCM(575,387,725) = 161330625 / 25

LCM(575,387,725) = 6453225


Lets's calculate GCF of 67,59,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6453225/1

Therefore the LCM of Fractions 575/67,387/59,725/603 is 6453225

Greatest Common Factor of 67,59,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,59,603 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 67,59,603 . The biggest common factor number is the GCF number.
So the greatest common factor 67,59,603 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 575/67, 387/59, 725/603

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 575/67, 387/59, 725/603?

Answer: LCM of Numerators as per given numbers 575/67, 387/59, 725/603 is

LCM of Numerators i.e. for 575,387,725 is 6453225

GCF of denominators i.e. for 67,59,603 is 1.

Thus, LCM of Fractions is 6453225.Finally, LCM of Fractions for 575/67, 387/59, 725/603 is 6453225.