Least Common Multiple of 9076/671, 4205/3597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9076/671, 4205/3597 quickly i.e. 38164580/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9076/671, 4205/3597 is 38164580/11.

LCM(9076/671, 4205/3597) = 38164580/11

LCM of 9076/671, 4205/3597

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 9076/671,4205/3597

Given numbers are 9076/671,4205/3597

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 9076,4205

Least Common Multiple of Numerators i.e. LCM of 9076,4205 is 38164580.

GCF of Denominators means GCF of 671,3597 as per the given fractions.

GCF of 671,3597 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9076,4205

LCM of Fractions 9076/671,4205/3597 is 38164580/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 38164580

Least Common Multiple of 9076,4205 with GCF Formula

Least Common Multiple of 9076,4205 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 9076,4205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9076,4205) = 1

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

GCF(9076,4205) x common factors =1 x 1 = 1

LCM(9076,4205) = ( 9076 × 4205 ) / 1

LCM(9076,4205) = 38164580 / 1

LCM(9076,4205) = 38164580


Lets's calculate GCF of 671,3597

11 671, 3597
61, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38164580/11

Therefore the LCM of Fractions 9076/671,4205/3597 is 38164580/11

Greatest Common Factor of 671,3597 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,3597 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 3597

List of positive integer factors of 3597 that divides 3597 without a remainder.

1,3,11,33,109,327,1199,3597

Greatest Common Factor

We found the factors 671,3597 . The biggest common factor number is the GCF number.
So the greatest common factor 671,3597 is 11.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9076/671, 4205/3597

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 9076/671, 4205/3597?

Answer: LCM of Numerators as per given numbers 9076/671, 4205/3597 is

LCM of Numerators i.e. for 9076,4205 is 38164580

GCF of denominators i.e. for 671,3597 is 11.

Thus, LCM of Fractions is 38164580/11.Finally, LCM of Fractions for 9076/671, 4205/3597 is 38164580/11.