Least Common Multiple of 4150/532, 3242/9772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4150/532, 3242/9772 quickly i.e. 6727150/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4150/532, 3242/9772 is 6727150/28.

LCM(4150/532, 3242/9772) = 6727150/28

LCM of 4150/532, 3242/9772

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 4150/532,3242/9772

Given numbers are 4150/532,3242/9772

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 4150,3242

Least Common Multiple of Numerators i.e. LCM of 4150,3242 is 6727150.

GCF of Denominators means GCF of 532,9772 as per the given fractions.

GCF of 532,9772 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4150,3242

LCM of Fractions 4150/532,3242/9772 is 6727150/28

2 4150, 3242
2075, 1621

∴ So the LCM of the given numbers is 2 x 2075 x 1621 = 6727150

Least Common Multiple of 4150,3242 with GCF Formula

Least Common Multiple of 4150,3242 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 4150,3242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4150,3242) = 2

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

GCF(4150,3242) x common factors =2 x 1 = 2

LCM(4150,3242) = ( 4150 × 3242 ) / 2

LCM(4150,3242) = 13454300 / 2

LCM(4150,3242) = 6727150


Lets's calculate GCF of 532,9772

2 532, 9772
2 266, 4886
7 133, 2443
19, 349

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6727150/28

Therefore the LCM of Fractions 4150/532,3242/9772 is 6727150/28

Greatest Common Factor of 532,9772 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,9772 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 532,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 532,9772 is 28.


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 4150/532, 3242/9772

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 4150/532, 3242/9772?

Answer: LCM of Numerators as per given numbers 4150/532, 3242/9772 is

LCM of Numerators i.e. for 4150,3242 is 6727150

GCF of denominators i.e. for 532,9772 is 28.

Thus, LCM of Fractions is 6727150/28.Finally, LCM of Fractions for 4150/532, 3242/9772 is 6727150/28.