Least Common Multiple of 45/31, 82/355, 120/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/31, 82/355, 120/510 quickly i.e. 14760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/31, 82/355, 120/510 is 14760.

LCM(45/31, 82/355, 120/510) = 14760

LCM of 45/31, 82/355, 120/510

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 45/31,82/355,120/510

Given numbers are 45/31,82/355,120/510

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 45,82,120

Least Common Multiple of Numerators i.e. LCM of 45,82,120 is 14760.

GCF of Denominators means GCF of 31,355,510 as per the given fractions.

GCF of 31,355,510 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,82,120

LCM of Fractions 45/31,82/355,120/510 is 14760

2 45, 82, 120
3 45, 41, 60
5 15, 41, 20
3, 41, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 41 x 4 = 14760

Least Common Multiple of 45,82,120 with GCF Formula

Least Common Multiple of 45,82,120 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 45,82,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,82,120) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(45,82,120) x common factors =1 x 30 = 30

LCM(45,82,120) = ( 45 × 82 × 120 ) / 30

LCM(45,82,120) = 442800 / 30

LCM(45,82,120) = 14760


Lets's calculate GCF of 31,355,510

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14760/1

Therefore the LCM of Fractions 45/31,82/355,120/510 is 14760

Greatest Common Factor of 31,355,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,355,510 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 31,355,510 . The biggest common factor number is the GCF number.
So the greatest common factor 31,355,510 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 45/31, 82/355, 120/510

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 45/31, 82/355, 120/510?

Answer: LCM of Numerators as per given numbers 45/31, 82/355, 120/510 is

LCM of Numerators i.e. for 45,82,120 is 14760

GCF of denominators i.e. for 31,355,510 is 1.

Thus, LCM of Fractions is 14760.Finally, LCM of Fractions for 45/31, 82/355, 120/510 is 14760.