Least Common Multiple of 137/86, 590/1592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/86, 590/1592 quickly i.e. 40415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/86, 590/1592 is 40415.

LCM(137/86, 590/1592) = 40415

LCM of 137/86, 590/1592

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 137/86,590/1592

Given numbers are 137/86,590/1592

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 137,590

Least Common Multiple of Numerators i.e. LCM of 137,590 is 80830.

GCF of Denominators means GCF of 86,1592 as per the given fractions.

GCF of 86,1592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,590

LCM of Fractions 137/86,590/1592 is 40415

Given numbers has no common factors except 1. So, there LCM is their product i.e 80830

Least Common Multiple of 137,590 with GCF Formula

Least Common Multiple of 137,590 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 137,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,590) = 1

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

GCF(137,590) x common factors =1 x 1 = 1

LCM(137,590) = ( 137 × 590 ) / 1

LCM(137,590) = 80830 / 1

LCM(137,590) = 80830


Lets's calculate GCF of 86,1592

2 86, 1592
43, 796

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80830/2

Therefore the LCM of Fractions 137/86,590/1592 is 40415

Greatest Common Factor of 86,1592 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,1592 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1,2,4,8,199,398,796,1592

Greatest Common Factor

We found the factors 86,1592 . The biggest common factor number is the GCF number.
So the greatest common factor 86,1592 is 2.


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 137/86, 590/1592

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 137/86, 590/1592?

Answer: LCM of Numerators as per given numbers 137/86, 590/1592 is

LCM of Numerators i.e. for 137,590 is 80830

GCF of denominators i.e. for 86,1592 is 2.

Thus, LCM of Fractions is 40415.Finally, LCM of Fractions for 137/86, 590/1592 is 40415.