Least Common Multiple of 675/750, 271/725, 578/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/750, 271/725, 578/234 quickly i.e. 105730650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/750, 271/725, 578/234 is 105730650.

LCM(675/750, 271/725, 578/234) = 105730650

LCM of 675/750, 271/725, 578/234

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 675/750,271/725,578/234

Given numbers are 675/750,271/725,578/234

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 675,271,578

Least Common Multiple of Numerators i.e. LCM of 675,271,578 is 105730650.

GCF of Denominators means GCF of 750,725,234 as per the given fractions.

GCF of 750,725,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,271,578

LCM of Fractions 675/750,271/725,578/234 is 105730650

Given numbers has no common factors except 1. So, there LCM is their product i.e 105730650

Least Common Multiple of 675,271,578 with GCF Formula

Least Common Multiple of 675,271,578 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 675,271,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,271,578) = 1

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

GCF(675,271,578) x common factors =1 x 1 = 1

LCM(675,271,578) = ( 675 × 271 × 578 ) / 1

LCM(675,271,578) = 105730650 / 1

LCM(675,271,578) = 105730650


Lets's calculate GCF of 750,725,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105730650/1

Therefore the LCM of Fractions 675/750,271/725,578/234 is 105730650

Greatest Common Factor of 750,725,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,725,234 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 725

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

1,5,25,29,145,725

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 750,725,234 . The biggest common factor number is the GCF number.
So the greatest common factor 750,725,234 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 675/750, 271/725, 578/234

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 675/750, 271/725, 578/234?

Answer: LCM of Numerators as per given numbers 675/750, 271/725, 578/234 is

LCM of Numerators i.e. for 675,271,578 is 105730650

GCF of denominators i.e. for 750,725,234 is 1.

Thus, LCM of Fractions is 105730650.Finally, LCM of Fractions for 675/750, 271/725, 578/234 is 105730650.