Least Common Multiple of 136/58, 823/1800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/58, 823/1800 quickly i.e. 55964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/58, 823/1800 is 55964.

LCM(136/58, 823/1800) = 55964

LCM of 136/58, 823/1800

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 136/58,823/1800

Given numbers are 136/58,823/1800

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 136,823

Least Common Multiple of Numerators i.e. LCM of 136,823 is 111928.

GCF of Denominators means GCF of 58,1800 as per the given fractions.

GCF of 58,1800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,823

LCM of Fractions 136/58,823/1800 is 55964

Given numbers has no common factors except 1. So, there LCM is their product i.e 111928

Least Common Multiple of 136,823 with GCF Formula

Least Common Multiple of 136,823 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 136,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,823) = 1

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

GCF(136,823) x common factors =1 x 1 = 1

LCM(136,823) = ( 136 × 823 ) / 1

LCM(136,823) = 111928 / 1

LCM(136,823) = 111928


Lets's calculate GCF of 58,1800

2 58, 1800
29, 900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111928/2

Therefore the LCM of Fractions 136/58,823/1800 is 55964

Greatest Common Factor of 58,1800 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1800 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Greatest Common Factor

We found the factors 58,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1800 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 136/58, 823/1800

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 136/58, 823/1800?

Answer: LCM of Numerators as per given numbers 136/58, 823/1800 is

LCM of Numerators i.e. for 136,823 is 111928

GCF of denominators i.e. for 58,1800 is 2.

Thus, LCM of Fractions is 55964.Finally, LCM of Fractions for 136/58, 823/1800 is 55964.