Least Common Multiple of 40/156, 75/730, 225/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/156, 75/730, 225/761 quickly i.e. 1800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/156, 75/730, 225/761 is 1800.

LCM(40/156, 75/730, 225/761) = 1800

LCM of 40/156, 75/730, 225/761

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 40/156,75/730,225/761

Given numbers are 40/156,75/730,225/761

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 40,75,225

Least Common Multiple of Numerators i.e. LCM of 40,75,225 is 1800.

GCF of Denominators means GCF of 156,730,761 as per the given fractions.

GCF of 156,730,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,75,225

LCM of Fractions 40/156,75/730,225/761 is 1800

3 40, 75, 225
5 40, 25, 75
5 8, 5, 15
8, 1, 3

∴ So the LCM of the given numbers is 3 x 5 x 5 x 8 x 1 x 3 = 1800

Least Common Multiple of 40,75,225 with GCF Formula

Least Common Multiple of 40,75,225 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 40,75,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,75,225) = 5

common factors(in case of two or more numbers have common factors) = 75

GCF(40,75,225) x common factors =5 x 75 = 375

LCM(40,75,225) = ( 40 × 75 × 225 ) / 375

LCM(40,75,225) = 675000 / 375

LCM(40,75,225) = 1800


Lets's calculate GCF of 156,730,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800/1

Therefore the LCM of Fractions 40/156,75/730,225/761 is 1800

Greatest Common Factor of 156,730,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,730,761 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 156,730,761 . The biggest common factor number is the GCF number.
So the greatest common factor 156,730,761 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 40/156, 75/730, 225/761

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 40/156, 75/730, 225/761?

Answer: LCM of Numerators as per given numbers 40/156, 75/730, 225/761 is

LCM of Numerators i.e. for 40,75,225 is 1800

GCF of denominators i.e. for 156,730,761 is 1.

Thus, LCM of Fractions is 1800.Finally, LCM of Fractions for 40/156, 75/730, 225/761 is 1800.