Least Common Multiple of 137/60, 586/39, 100/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/60, 586/39, 100/464 quickly i.e. 4014100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/60, 586/39, 100/464 is 4014100.

LCM(137/60, 586/39, 100/464) = 4014100

LCM of 137/60, 586/39, 100/464

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 137/60,586/39,100/464

Given numbers are 137/60,586/39,100/464

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 137,586,100

Least Common Multiple of Numerators i.e. LCM of 137,586,100 is 4014100.

GCF of Denominators means GCF of 60,39,464 as per the given fractions.

GCF of 60,39,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,586,100

LCM of Fractions 137/60,586/39,100/464 is 4014100

2 137, 586, 100
137, 293, 50

∴ So the LCM of the given numbers is 2 x 137 x 293 x 50 = 4014100

Least Common Multiple of 137,586,100 with GCF Formula

Least Common Multiple of 137,586,100 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 137,586,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,586,100) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(137,586,100) x common factors =1 x 2 = 2

LCM(137,586,100) = ( 137 × 586 × 100 ) / 2

LCM(137,586,100) = 8028200 / 2

LCM(137,586,100) = 4014100


Lets's calculate GCF of 60,39,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4014100/1

Therefore the LCM of Fractions 137/60,586/39,100/464 is 4014100

Greatest Common Factor of 60,39,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,39,464 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 60,39,464 . The biggest common factor number is the GCF number.
So the greatest common factor 60,39,464 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 137/60, 586/39, 100/464

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 137/60, 586/39, 100/464?

Answer: LCM of Numerators as per given numbers 137/60, 586/39, 100/464 is

LCM of Numerators i.e. for 137,586,100 is 4014100

GCF of denominators i.e. for 60,39,464 is 1.

Thus, LCM of Fractions is 4014100.Finally, LCM of Fractions for 137/60, 586/39, 100/464 is 4014100.