Least Common Multiple of 601/483, 325/720, 546/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 601/483, 325/720, 546/122 quickly i.e. 8203650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 601/483, 325/720, 546/122 is 8203650.

LCM(601/483, 325/720, 546/122) = 8203650

LCM of 601/483, 325/720, 546/122

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 601/483,325/720,546/122

Given numbers are 601/483,325/720,546/122

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 601,325,546

Least Common Multiple of Numerators i.e. LCM of 601,325,546 is 8203650.

GCF of Denominators means GCF of 483,720,122 as per the given fractions.

GCF of 483,720,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 601,325,546

LCM of Fractions 601/483,325/720,546/122 is 8203650

13 601, 325, 546
601, 25, 42

∴ So the LCM of the given numbers is 13 x 601 x 25 x 42 = 8203650

Least Common Multiple of 601,325,546 with GCF Formula

Least Common Multiple of 601,325,546 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 601,325,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,325,546) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(601,325,546) x common factors =1 x 13 = 13

LCM(601,325,546) = ( 601 × 325 × 546 ) / 13

LCM(601,325,546) = 106647450 / 13

LCM(601,325,546) = 8203650


Lets's calculate GCF of 483,720,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8203650/1

Therefore the LCM of Fractions 601/483,325/720,546/122 is 8203650

Greatest Common Factor of 483,720,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,720,122 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 483,720,122 . The biggest common factor number is the GCF number.
So the greatest common factor 483,720,122 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 601/483, 325/720, 546/122

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 601/483, 325/720, 546/122?

Answer: LCM of Numerators as per given numbers 601/483, 325/720, 546/122 is

LCM of Numerators i.e. for 601,325,546 is 8203650

GCF of denominators i.e. for 483,720,122 is 1.

Thus, LCM of Fractions is 8203650.Finally, LCM of Fractions for 601/483, 325/720, 546/122 is 8203650.