Least Common Multiple of 32/217, 3528/7397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/217, 3528/7397 quickly i.e. 14112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/217, 3528/7397 is 14112.

LCM(32/217, 3528/7397) = 14112

LCM of 32/217, 3528/7397

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 32/217,3528/7397

Given numbers are 32/217,3528/7397

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 32,3528

Least Common Multiple of Numerators i.e. LCM of 32,3528 is 14112.

GCF of Denominators means GCF of 217,7397 as per the given fractions.

GCF of 217,7397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,3528

LCM of Fractions 32/217,3528/7397 is 14112

2 32, 3528
2 16, 1764
2 8, 882
4, 441

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 441 = 14112

Least Common Multiple of 32,3528 with GCF Formula

Least Common Multiple of 32,3528 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 32,3528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,3528) = 8

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

GCF(32,3528) x common factors =8 x 1 = 8

LCM(32,3528) = ( 32 × 3528 ) / 8

LCM(32,3528) = 112896 / 8

LCM(32,3528) = 14112


Lets's calculate GCF of 217,7397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14112/1

Therefore the LCM of Fractions 32/217,3528/7397 is 14112

Greatest Common Factor of 217,7397 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,7397 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 7397

List of positive integer factors of 7397 that divides 7397 without a remainder.

1,13,569,7397

Greatest Common Factor

We found the factors 217,7397 . The biggest common factor number is the GCF number.
So the greatest common factor 217,7397 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 32/217, 3528/7397

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 32/217, 3528/7397?

Answer: LCM of Numerators as per given numbers 32/217, 3528/7397 is

LCM of Numerators i.e. for 32,3528 is 14112

GCF of denominators i.e. for 217,7397 is 1.

Thus, LCM of Fractions is 14112.Finally, LCM of Fractions for 32/217, 3528/7397 is 14112.