Least Common Multiple of 31/482, 45/340, 752/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/482, 45/340, 752/909 quickly i.e. 1049040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/482, 45/340, 752/909 is 1049040.

LCM(31/482, 45/340, 752/909) = 1049040

LCM of 31/482, 45/340, 752/909

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 31/482,45/340,752/909

Given numbers are 31/482,45/340,752/909

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 31,45,752

Least Common Multiple of Numerators i.e. LCM of 31,45,752 is 1049040.

GCF of Denominators means GCF of 482,340,909 as per the given fractions.

GCF of 482,340,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,45,752

LCM of Fractions 31/482,45/340,752/909 is 1049040

Given numbers has no common factors except 1. So, there LCM is their product i.e 1049040

Least Common Multiple of 31,45,752 with GCF Formula

Least Common Multiple of 31,45,752 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 31,45,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,45,752) = 1

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

GCF(31,45,752) x common factors =1 x 1 = 1

LCM(31,45,752) = ( 31 × 45 × 752 ) / 1

LCM(31,45,752) = 1049040 / 1

LCM(31,45,752) = 1049040


Lets's calculate GCF of 482,340,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1049040/1

Therefore the LCM of Fractions 31/482,45/340,752/909 is 1049040

Greatest Common Factor of 482,340,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,340,909 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 482,340,909 . The biggest common factor number is the GCF number.
So the greatest common factor 482,340,909 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 31/482, 45/340, 752/909

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 31/482, 45/340, 752/909?

Answer: LCM of Numerators as per given numbers 31/482, 45/340, 752/909 is

LCM of Numerators i.e. for 31,45,752 is 1049040

GCF of denominators i.e. for 482,340,909 is 1.

Thus, LCM of Fractions is 1049040.Finally, LCM of Fractions for 31/482, 45/340, 752/909 is 1049040.