Least Common Multiple of 59/13, 76/180, 845/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/13, 76/180, 845/709 quickly i.e. 3788980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/13, 76/180, 845/709 is 3788980.

LCM(59/13, 76/180, 845/709) = 3788980

LCM of 59/13, 76/180, 845/709

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 59/13,76/180,845/709

Given numbers are 59/13,76/180,845/709

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 59,76,845

Least Common Multiple of Numerators i.e. LCM of 59,76,845 is 3788980.

GCF of Denominators means GCF of 13,180,709 as per the given fractions.

GCF of 13,180,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,76,845

LCM of Fractions 59/13,76/180,845/709 is 3788980

Given numbers has no common factors except 1. So, there LCM is their product i.e 3788980

Least Common Multiple of 59,76,845 with GCF Formula

Least Common Multiple of 59,76,845 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 59,76,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,76,845) = 1

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

GCF(59,76,845) x common factors =1 x 1 = 1

LCM(59,76,845) = ( 59 × 76 × 845 ) / 1

LCM(59,76,845) = 3788980 / 1

LCM(59,76,845) = 3788980


Lets's calculate GCF of 13,180,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3788980/1

Therefore the LCM of Fractions 59/13,76/180,845/709 is 3788980

Greatest Common Factor of 13,180,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,180,709 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 13,180,709 . The biggest common factor number is the GCF number.
So the greatest common factor 13,180,709 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 59/13, 76/180, 845/709

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 59/13, 76/180, 845/709?

Answer: LCM of Numerators as per given numbers 59/13, 76/180, 845/709 is

LCM of Numerators i.e. for 59,76,845 is 3788980

GCF of denominators i.e. for 13,180,709 is 1.

Thus, LCM of Fractions is 3788980.Finally, LCM of Fractions for 59/13, 76/180, 845/709 is 3788980.