Least Common Multiple of 4007/783, 9073/7975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4007/783, 9073/7975 quickly i.e. 36355511/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4007/783, 9073/7975 is 36355511/29.

LCM(4007/783, 9073/7975) = 36355511/29

LCM of 4007/783, 9073/7975

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 4007/783,9073/7975

Given numbers are 4007/783,9073/7975

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 4007,9073

Least Common Multiple of Numerators i.e. LCM of 4007,9073 is 36355511.

GCF of Denominators means GCF of 783,7975 as per the given fractions.

GCF of 783,7975 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4007,9073

LCM of Fractions 4007/783,9073/7975 is 36355511/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 36355511

Least Common Multiple of 4007,9073 with GCF Formula

Least Common Multiple of 4007,9073 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 4007,9073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4007,9073) = 1

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

GCF(4007,9073) x common factors =1 x 1 = 1

LCM(4007,9073) = ( 4007 × 9073 ) / 1

LCM(4007,9073) = 36355511 / 1

LCM(4007,9073) = 36355511


Lets's calculate GCF of 783,7975

29 783, 7975
27, 275

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36355511/29

Therefore the LCM of Fractions 4007/783,9073/7975 is 36355511/29

Greatest Common Factor of 783,7975 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,7975 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Greatest Common Factor

We found the factors 783,7975 . The biggest common factor number is the GCF number.
So the greatest common factor 783,7975 is 29.


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 4007/783, 9073/7975

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 4007/783, 9073/7975?

Answer: LCM of Numerators as per given numbers 4007/783, 9073/7975 is

LCM of Numerators i.e. for 4007,9073 is 36355511

GCF of denominators i.e. for 783,7975 is 29.

Thus, LCM of Fractions is 36355511/29.Finally, LCM of Fractions for 4007/783, 9073/7975 is 36355511/29.