Least Common Multiple of 680/29, 535/37, 509/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/29, 535/37, 509/60 quickly i.e. 37034840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/29, 535/37, 509/60 is 37034840.

LCM(680/29, 535/37, 509/60) = 37034840

LCM of 680/29, 535/37, 509/60

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 680/29,535/37,509/60

Given numbers are 680/29,535/37,509/60

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 680,535,509

Least Common Multiple of Numerators i.e. LCM of 680,535,509 is 37034840.

GCF of Denominators means GCF of 29,37,60 as per the given fractions.

GCF of 29,37,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,535,509

LCM of Fractions 680/29,535/37,509/60 is 37034840

5 680, 535, 509
136, 107, 509

∴ So the LCM of the given numbers is 5 x 136 x 107 x 509 = 37034840

Least Common Multiple of 680,535,509 with GCF Formula

Least Common Multiple of 680,535,509 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 680,535,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,535,509) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(680,535,509) x common factors =1 x 5 = 5

LCM(680,535,509) = ( 680 × 535 × 509 ) / 5

LCM(680,535,509) = 185174200 / 5

LCM(680,535,509) = 37034840


Lets's calculate GCF of 29,37,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37034840/1

Therefore the LCM of Fractions 680/29,535/37,509/60 is 37034840

Greatest Common Factor of 29,37,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,37,60 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

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

Greatest Common Factor

We found the factors 29,37,60 . The biggest common factor number is the GCF number.
So the greatest common factor 29,37,60 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 680/29, 535/37, 509/60

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 680/29, 535/37, 509/60?

Answer: LCM of Numerators as per given numbers 680/29, 535/37, 509/60 is

LCM of Numerators i.e. for 680,535,509 is 37034840

GCF of denominators i.e. for 29,37,60 is 1.

Thus, LCM of Fractions is 37034840.Finally, LCM of Fractions for 680/29, 535/37, 509/60 is 37034840.