Least Common Multiple of 40/759, 9149/4880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/759, 9149/4880 quickly i.e. 365960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/759, 9149/4880 is 365960.

LCM(40/759, 9149/4880) = 365960

LCM of 40/759, 9149/4880

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 40/759,9149/4880

Given numbers are 40/759,9149/4880

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 40,9149

Least Common Multiple of Numerators i.e. LCM of 40,9149 is 365960.

GCF of Denominators means GCF of 759,4880 as per the given fractions.

GCF of 759,4880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,9149

LCM of Fractions 40/759,9149/4880 is 365960

Given numbers has no common factors except 1. So, there LCM is their product i.e 365960

Least Common Multiple of 40,9149 with GCF Formula

Least Common Multiple of 40,9149 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 40,9149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,9149) = 1

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

GCF(40,9149) x common factors =1 x 1 = 1

LCM(40,9149) = ( 40 × 9149 ) / 1

LCM(40,9149) = 365960 / 1

LCM(40,9149) = 365960


Lets's calculate GCF of 759,4880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365960/1

Therefore the LCM of Fractions 40/759,9149/4880 is 365960

Greatest Common Factor of 759,4880 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,4880 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Greatest Common Factor

We found the factors 759,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 759,4880 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 40/759, 9149/4880

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 40/759, 9149/4880?

Answer: LCM of Numerators as per given numbers 40/759, 9149/4880 is

LCM of Numerators i.e. for 40,9149 is 365960

GCF of denominators i.e. for 759,4880 is 1.

Thus, LCM of Fractions is 365960.Finally, LCM of Fractions for 40/759, 9149/4880 is 365960.