Least Common Multiple of 217/703, 3272/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/703, 3272/360 quickly i.e. 710024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/703, 3272/360 is 710024.

LCM(217/703, 3272/360) = 710024

LCM of 217/703, 3272/360

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 217/703,3272/360

Given numbers are 217/703,3272/360

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 217,3272

Least Common Multiple of Numerators i.e. LCM of 217,3272 is 710024.

GCF of Denominators means GCF of 703,360 as per the given fractions.

GCF of 703,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,3272

LCM of Fractions 217/703,3272/360 is 710024

Given numbers has no common factors except 1. So, there LCM is their product i.e 710024

Least Common Multiple of 217,3272 with GCF Formula

Least Common Multiple of 217,3272 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 217,3272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,3272) = 1

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

GCF(217,3272) x common factors =1 x 1 = 1

LCM(217,3272) = ( 217 × 3272 ) / 1

LCM(217,3272) = 710024 / 1

LCM(217,3272) = 710024


Lets's calculate GCF of 703,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710024/1

Therefore the LCM of Fractions 217/703,3272/360 is 710024

Greatest Common Factor of 703,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,360 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 703,360 . The biggest common factor number is the GCF number.
So the greatest common factor 703,360 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 217/703, 3272/360

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 217/703, 3272/360?

Answer: LCM of Numerators as per given numbers 217/703, 3272/360 is

LCM of Numerators i.e. for 217,3272 is 710024

GCF of denominators i.e. for 703,360 is 1.

Thus, LCM of Fractions is 710024.Finally, LCM of Fractions for 217/703, 3272/360 is 710024.