Least Common Multiple of 7285/172, 6695/3271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7285/172, 6695/3271 quickly i.e. 9754615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7285/172, 6695/3271 is 9754615.

LCM(7285/172, 6695/3271) = 9754615

LCM of 7285/172, 6695/3271

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 7285/172,6695/3271

Given numbers are 7285/172,6695/3271

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 7285,6695

Least Common Multiple of Numerators i.e. LCM of 7285,6695 is 9754615.

GCF of Denominators means GCF of 172,3271 as per the given fractions.

GCF of 172,3271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7285,6695

LCM of Fractions 7285/172,6695/3271 is 9754615

5 7285, 6695
1457, 1339

∴ So the LCM of the given numbers is 5 x 1457 x 1339 = 9754615

Least Common Multiple of 7285,6695 with GCF Formula

Least Common Multiple of 7285,6695 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 7285,6695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7285,6695) = 5

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

GCF(7285,6695) x common factors =5 x 1 = 5

LCM(7285,6695) = ( 7285 × 6695 ) / 5

LCM(7285,6695) = 48773075 / 5

LCM(7285,6695) = 9754615


Lets's calculate GCF of 172,3271

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9754615/1

Therefore the LCM of Fractions 7285/172,6695/3271 is 9754615

Greatest Common Factor of 172,3271 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,3271 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1,3271

Greatest Common Factor

We found the factors 172,3271 . The biggest common factor number is the GCF number.
So the greatest common factor 172,3271 is 1.


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 7285/172, 6695/3271

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 7285/172, 6695/3271?

Answer: LCM of Numerators as per given numbers 7285/172, 6695/3271 is

LCM of Numerators i.e. for 7285,6695 is 9754615

GCF of denominators i.e. for 172,3271 is 1.

Thus, LCM of Fractions is 9754615.Finally, LCM of Fractions for 7285/172, 6695/3271 is 9754615.