Least Common Multiple of 481/225, 2860/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 481/225, 2860/146 quickly i.e. 105820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/225, 2860/146 is 105820.

LCM(481/225, 2860/146) = 105820

LCM of 481/225, 2860/146

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 481/225,2860/146

Given numbers are 481/225,2860/146

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 481,2860

Least Common Multiple of Numerators i.e. LCM of 481,2860 is 105820.

GCF of Denominators means GCF of 225,146 as per the given fractions.

GCF of 225,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,2860

LCM of Fractions 481/225,2860/146 is 105820

13 481, 2860
37, 220

∴ So the LCM of the given numbers is 13 x 37 x 220 = 105820

Least Common Multiple of 481,2860 with GCF Formula

Least Common Multiple of 481,2860 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 481,2860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,2860) = 13

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

GCF(481,2860) x common factors =13 x 1 = 13

LCM(481,2860) = ( 481 × 2860 ) / 13

LCM(481,2860) = 1375660 / 13

LCM(481,2860) = 105820


Lets's calculate GCF of 225,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105820/1

Therefore the LCM of Fractions 481/225,2860/146 is 105820

Greatest Common Factor of 225,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,146 By Matching Biggest Common Factor Method

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

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 225,146 . The biggest common factor number is the GCF number.
So the greatest common factor 225,146 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 481/225, 2860/146

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 481/225, 2860/146?

Answer: LCM of Numerators as per given numbers 481/225, 2860/146 is

LCM of Numerators i.e. for 481,2860 is 105820

GCF of denominators i.e. for 225,146 is 1.

Thus, LCM of Fractions is 105820.Finally, LCM of Fractions for 481/225, 2860/146 is 105820.