Least Common Multiple of 59/600, 5611/6440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/600, 5611/6440 quickly i.e. 331049/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/600, 5611/6440 is 331049/40.

LCM(59/600, 5611/6440) = 331049/40

LCM of 59/600, 5611/6440

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 59/600,5611/6440

Given numbers are 59/600,5611/6440

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 59,5611

Least Common Multiple of Numerators i.e. LCM of 59,5611 is 331049.

GCF of Denominators means GCF of 600,6440 as per the given fractions.

GCF of 600,6440 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,5611

LCM of Fractions 59/600,5611/6440 is 331049/40

Given numbers has no common factors except 1. So, there LCM is their product i.e 331049

Least Common Multiple of 59,5611 with GCF Formula

Least Common Multiple of 59,5611 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 59,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,5611) = 1

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

GCF(59,5611) x common factors =1 x 1 = 1

LCM(59,5611) = ( 59 × 5611 ) / 1

LCM(59,5611) = 331049 / 1

LCM(59,5611) = 331049


Lets's calculate GCF of 600,6440

2 600, 6440
2 300, 3220
2 150, 1610
5 75, 805
15, 161

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331049/40

Therefore the LCM of Fractions 59/600,5611/6440 is 331049/40

Greatest Common Factor of 600,6440 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,6440 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Greatest Common Factor

We found the factors 600,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 600,6440 is 40.


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 59/600, 5611/6440

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 59/600, 5611/6440?

Answer: LCM of Numerators as per given numbers 59/600, 5611/6440 is

LCM of Numerators i.e. for 59,5611 is 331049

GCF of denominators i.e. for 600,6440 is 40.

Thus, LCM of Fractions is 331049/40.Finally, LCM of Fractions for 59/600, 5611/6440 is 331049/40.