Least Common Multiple of 340/40, 233/1535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/40, 233/1535 quickly i.e. 15844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/40, 233/1535 is 15844.

LCM(340/40, 233/1535) = 15844

LCM of 340/40, 233/1535

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 340/40,233/1535

Given numbers are 340/40,233/1535

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 340,233

Least Common Multiple of Numerators i.e. LCM of 340,233 is 79220.

GCF of Denominators means GCF of 40,1535 as per the given fractions.

GCF of 40,1535 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,233

LCM of Fractions 340/40,233/1535 is 15844

Given numbers has no common factors except 1. So, there LCM is their product i.e 79220

Least Common Multiple of 340,233 with GCF Formula

Least Common Multiple of 340,233 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 340,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,233) = 1

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

GCF(340,233) x common factors =1 x 1 = 1

LCM(340,233) = ( 340 × 233 ) / 1

LCM(340,233) = 79220 / 1

LCM(340,233) = 79220


Lets's calculate GCF of 40,1535

5 40, 1535
8, 307

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79220/5

Therefore the LCM of Fractions 340/40,233/1535 is 15844

Greatest Common Factor of 40,1535 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,1535 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 1535

List of positive integer factors of 1535 that divides 1535 without a remainder.

1,5,307,1535

Greatest Common Factor

We found the factors 40,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 40,1535 is 5.


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 340/40, 233/1535

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 340/40, 233/1535?

Answer: LCM of Numerators as per given numbers 340/40, 233/1535 is

LCM of Numerators i.e. for 340,233 is 79220

GCF of denominators i.e. for 40,1535 is 5.

Thus, LCM of Fractions is 15844.Finally, LCM of Fractions for 340/40, 233/1535 is 15844.