Least Common Multiple of 4003/985, 9623/4125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4003/985, 9623/4125 quickly i.e. 38520869/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4003/985, 9623/4125 is 38520869/5.

LCM(4003/985, 9623/4125) = 38520869/5

LCM of 4003/985, 9623/4125

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 4003/985,9623/4125

Given numbers are 4003/985,9623/4125

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 4003,9623

Least Common Multiple of Numerators i.e. LCM of 4003,9623 is 38520869.

GCF of Denominators means GCF of 985,4125 as per the given fractions.

GCF of 985,4125 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4003,9623

LCM of Fractions 4003/985,9623/4125 is 38520869/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 38520869

Least Common Multiple of 4003,9623 with GCF Formula

Least Common Multiple of 4003,9623 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 4003,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4003,9623) = 1

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

GCF(4003,9623) x common factors =1 x 1 = 1

LCM(4003,9623) = ( 4003 × 9623 ) / 1

LCM(4003,9623) = 38520869 / 1

LCM(4003,9623) = 38520869


Lets's calculate GCF of 985,4125

5 985, 4125
197, 825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38520869/5

Therefore the LCM of Fractions 4003/985,9623/4125 is 38520869/5

Greatest Common Factor of 985,4125 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,4125 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Greatest Common Factor

We found the factors 985,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 985,4125 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 4003/985, 9623/4125

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 4003/985, 9623/4125?

Answer: LCM of Numerators as per given numbers 4003/985, 9623/4125 is

LCM of Numerators i.e. for 4003,9623 is 38520869

GCF of denominators i.e. for 985,4125 is 5.

Thus, LCM of Fractions is 38520869/5.Finally, LCM of Fractions for 4003/985, 9623/4125 is 38520869/5.