Least Common Multiple of 4007/671, 7594/9273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4007/671, 7594/9273 quickly i.e. 30429158/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4007/671, 7594/9273 is 30429158/11.

LCM(4007/671, 7594/9273) = 30429158/11

LCM of 4007/671, 7594/9273

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 4007/671,7594/9273

Given numbers are 4007/671,7594/9273

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 4007,7594

Least Common Multiple of Numerators i.e. LCM of 4007,7594 is 30429158.

GCF of Denominators means GCF of 671,9273 as per the given fractions.

GCF of 671,9273 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4007,7594

LCM of Fractions 4007/671,7594/9273 is 30429158/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 30429158

Least Common Multiple of 4007,7594 with GCF Formula

Least Common Multiple of 4007,7594 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 4007,7594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4007,7594) = 1

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

GCF(4007,7594) x common factors =1 x 1 = 1

LCM(4007,7594) = ( 4007 × 7594 ) / 1

LCM(4007,7594) = 30429158 / 1

LCM(4007,7594) = 30429158


Lets's calculate GCF of 671,9273

11 671, 9273
61, 843

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30429158/11

Therefore the LCM of Fractions 4007/671,7594/9273 is 30429158/11

Greatest Common Factor of 671,9273 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,9273 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1,3,11,33,281,843,3091,9273

Greatest Common Factor

We found the factors 671,9273 . The biggest common factor number is the GCF number.
So the greatest common factor 671,9273 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4007/671, 7594/9273

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 4007/671, 7594/9273?

Answer: LCM of Numerators as per given numbers 4007/671, 7594/9273 is

LCM of Numerators i.e. for 4007,7594 is 30429158

GCF of denominators i.e. for 671,9273 is 11.

Thus, LCM of Fractions is 30429158/11.Finally, LCM of Fractions for 4007/671, 7594/9273 is 30429158/11.