Least Common Multiple of 591/60, 471/67, 602/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/60, 471/67, 602/320 quickly i.e. 55857774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/60, 471/67, 602/320 is 55857774.

LCM(591/60, 471/67, 602/320) = 55857774

LCM of 591/60, 471/67, 602/320

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 591/60,471/67,602/320

Given numbers are 591/60,471/67,602/320

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 591,471,602

Least Common Multiple of Numerators i.e. LCM of 591,471,602 is 55857774.

GCF of Denominators means GCF of 60,67,320 as per the given fractions.

GCF of 60,67,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,471,602

LCM of Fractions 591/60,471/67,602/320 is 55857774

3 591, 471, 602
197, 157, 602

∴ So the LCM of the given numbers is 3 x 197 x 157 x 602 = 55857774

Least Common Multiple of 591,471,602 with GCF Formula

Least Common Multiple of 591,471,602 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 591,471,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,471,602) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(591,471,602) x common factors =1 x 3 = 3

LCM(591,471,602) = ( 591 × 471 × 602 ) / 3

LCM(591,471,602) = 167573322 / 3

LCM(591,471,602) = 55857774


Lets's calculate GCF of 60,67,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55857774/1

Therefore the LCM of Fractions 591/60,471/67,602/320 is 55857774

Greatest Common Factor of 60,67,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,67,320 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 60,67,320 . The biggest common factor number is the GCF number.
So the greatest common factor 60,67,320 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 591/60, 471/67, 602/320

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 591/60, 471/67, 602/320?

Answer: LCM of Numerators as per given numbers 591/60, 471/67, 602/320 is

LCM of Numerators i.e. for 591,471,602 is 55857774

GCF of denominators i.e. for 60,67,320 is 1.

Thus, LCM of Fractions is 55857774.Finally, LCM of Fractions for 591/60, 471/67, 602/320 is 55857774.