Least Common Multiple of 1/149, 23/260, 59/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/149, 23/260, 59/596 quickly i.e. 1357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/149, 23/260, 59/596 is 1357.

LCM(1/149, 23/260, 59/596) = 1357

LCM of 1/149, 23/260, 59/596

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 1/149,23/260,59/596

Given numbers are 1/149,23/260,59/596

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 1,23,59

Least Common Multiple of Numerators i.e. LCM of 1,23,59 is 1357.

GCF of Denominators means GCF of 149,260,596 as per the given fractions.

GCF of 149,260,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,23,59

LCM of Fractions 1/149,23/260,59/596 is 1357

Given numbers has no common factors except 1. So, there LCM is their product i.e 1357

Least Common Multiple of 1,23,59 with GCF Formula

Least Common Multiple of 1,23,59 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 1,23,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,23,59) = 1

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

GCF(1,23,59) x common factors =1 x 1 = 1

LCM(1,23,59) = ( 1 × 23 × 59 ) / 1

LCM(1,23,59) = 1357 / 1

LCM(1,23,59) = 1357


Lets's calculate GCF of 149,260,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1357/1

Therefore the LCM of Fractions 1/149,23/260,59/596 is 1357

Greatest Common Factor of 149,260,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,260,596 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 149,260,596 . The biggest common factor number is the GCF number.
So the greatest common factor 149,260,596 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 1/149, 23/260, 59/596

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 1/149, 23/260, 59/596?

Answer: LCM of Numerators as per given numbers 1/149, 23/260, 59/596 is

LCM of Numerators i.e. for 1,23,59 is 1357

GCF of denominators i.e. for 149,260,596 is 1.

Thus, LCM of Fractions is 1357.Finally, LCM of Fractions for 1/149, 23/260, 59/596 is 1357.