Least Common Multiple of 4393/170, 3711/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4393/170, 3711/600 quickly i.e. 16302423/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4393/170, 3711/600 is 16302423/10.

LCM(4393/170, 3711/600) = 16302423/10

LCM of 4393/170, 3711/600

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 4393/170,3711/600

Given numbers are 4393/170,3711/600

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 4393,3711

Least Common Multiple of Numerators i.e. LCM of 4393,3711 is 16302423.

GCF of Denominators means GCF of 170,600 as per the given fractions.

GCF of 170,600 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4393,3711

LCM of Fractions 4393/170,3711/600 is 16302423/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 16302423

Least Common Multiple of 4393,3711 with GCF Formula

Least Common Multiple of 4393,3711 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 4393,3711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4393,3711) = 1

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

GCF(4393,3711) x common factors =1 x 1 = 1

LCM(4393,3711) = ( 4393 × 3711 ) / 1

LCM(4393,3711) = 16302423 / 1

LCM(4393,3711) = 16302423


Lets's calculate GCF of 170,600

2 170, 600
5 85, 300
17, 60

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16302423/10

Therefore the LCM of Fractions 4393/170,3711/600 is 16302423/10

Greatest Common Factor of 170,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,600 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

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

Greatest Common Factor

We found the factors 170,600 . The biggest common factor number is the GCF number.
So the greatest common factor 170,600 is 10.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4393/170, 3711/600

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 4393/170, 3711/600?

Answer: LCM of Numerators as per given numbers 4393/170, 3711/600 is

LCM of Numerators i.e. for 4393,3711 is 16302423

GCF of denominators i.e. for 170,600 is 10.

Thus, LCM of Fractions is 16302423/10.Finally, LCM of Fractions for 4393/170, 3711/600 is 16302423/10.