Least Common Multiple of 41/800, 60/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/800, 60/652 quickly i.e. 615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/800, 60/652 is 615.

LCM(41/800, 60/652) = 615

LCM of 41/800, 60/652

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 41/800,60/652

Given numbers are 41/800,60/652

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 41,60

Least Common Multiple of Numerators i.e. LCM of 41,60 is 2460.

GCF of Denominators means GCF of 800,652 as per the given fractions.

GCF of 800,652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,60

LCM of Fractions 41/800,60/652 is 615

Given numbers has no common factors except 1. So, there LCM is their product i.e 2460

Least Common Multiple of 41,60 with GCF Formula

Least Common Multiple of 41,60 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 41,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,60) = 1

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

GCF(41,60) x common factors =1 x 1 = 1

LCM(41,60) = ( 41 × 60 ) / 1

LCM(41,60) = 2460 / 1

LCM(41,60) = 2460


Lets's calculate GCF of 800,652

2 800, 652
2 400, 326
200, 163

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2460/4

Therefore the LCM of Fractions 41/800,60/652 is 615

Greatest Common Factor of 800,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,652 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 800,652 . The biggest common factor number is the GCF number.
So the greatest common factor 800,652 is 4.


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 41/800, 60/652

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 41/800, 60/652?

Answer: LCM of Numerators as per given numbers 41/800, 60/652 is

LCM of Numerators i.e. for 41,60 is 2460

GCF of denominators i.e. for 800,652 is 4.

Thus, LCM of Fractions is 615.Finally, LCM of Fractions for 41/800, 60/652 is 615.