Least Common Multiple of 40/366, 78/261, 949/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/366, 78/261, 949/225 quickly i.e. 37960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/366, 78/261, 949/225 is 37960.

LCM(40/366, 78/261, 949/225) = 37960

LCM of 40/366, 78/261, 949/225

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 40/366,78/261,949/225

Given numbers are 40/366,78/261,949/225

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 40,78,949

Least Common Multiple of Numerators i.e. LCM of 40,78,949 is 113880.

GCF of Denominators means GCF of 366,261,225 as per the given fractions.

GCF of 366,261,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,78,949

LCM of Fractions 40/366,78/261,949/225 is 37960

2 40, 78, 949
13 20, 39, 949
20, 3, 73

∴ So the LCM of the given numbers is 2 x 13 x 20 x 3 x 73 = 113880

Least Common Multiple of 40,78,949 with GCF Formula

Least Common Multiple of 40,78,949 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 40,78,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,78,949) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(40,78,949) x common factors =1 x 26 = 26

LCM(40,78,949) = ( 40 × 78 × 949 ) / 26

LCM(40,78,949) = 2960880 / 26

LCM(40,78,949) = 113880


Lets's calculate GCF of 366,261,225

3 366, 261, 225
122, 87, 75

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113880/3

Therefore the LCM of Fractions 40/366,78/261,949/225 is 37960

Greatest Common Factor of 366,261,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,261,225 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 366,261,225 . The biggest common factor number is the GCF number.
So the greatest common factor 366,261,225 is 3.


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 40/366, 78/261, 949/225

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 40/366, 78/261, 949/225?

Answer: LCM of Numerators as per given numbers 40/366, 78/261, 949/225 is

LCM of Numerators i.e. for 40,78,949 is 113880

GCF of denominators i.e. for 366,261,225 is 3.

Thus, LCM of Fractions is 37960.Finally, LCM of Fractions for 40/366, 78/261, 949/225 is 37960.