Least Common Multiple of 6327/600, 3988/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6327/600, 3988/120 quickly i.e. 25232076/120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6327/600, 3988/120 is 25232076/120.

LCM(6327/600, 3988/120) = 25232076/120

LCM of 6327/600, 3988/120

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 6327/600,3988/120

Given numbers are 6327/600,3988/120

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 6327,3988

Least Common Multiple of Numerators i.e. LCM of 6327,3988 is 25232076.

GCF of Denominators means GCF of 600,120 as per the given fractions.

GCF of 600,120 is 120 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6327,3988

LCM of Fractions 6327/600,3988/120 is 25232076/120

Given numbers has no common factors except 1. So, there LCM is their product i.e 25232076

Least Common Multiple of 6327,3988 with GCF Formula

Least Common Multiple of 6327,3988 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 6327,3988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6327,3988) = 1

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

GCF(6327,3988) x common factors =1 x 1 = 1

LCM(6327,3988) = ( 6327 × 3988 ) / 1

LCM(6327,3988) = 25232076 / 1

LCM(6327,3988) = 25232076


Lets's calculate GCF of 600,120

2 600, 120
2 300, 60
2 150, 30
3 75, 15
5 25, 5
1, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25232076/120

Therefore the LCM of Fractions 6327/600,3988/120 is 25232076/120

Greatest Common Factor of 600,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,120 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 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 600,120 . The biggest common factor number is the GCF number.
So the greatest common factor 600,120 is 120.


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 6327/600, 3988/120

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 6327/600, 3988/120?

Answer: LCM of Numerators as per given numbers 6327/600, 3988/120 is

LCM of Numerators i.e. for 6327,3988 is 25232076

GCF of denominators i.e. for 600,120 is 120.

Thus, LCM of Fractions is 25232076/120.Finally, LCM of Fractions for 6327/600, 3988/120 is 25232076/120.