Least Common Multiple of 712/32, 771/9884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/32, 771/9884 quickly i.e. 137238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/32, 771/9884 is 137238.

LCM(712/32, 771/9884) = 137238

LCM of 712/32, 771/9884

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 712/32,771/9884

Given numbers are 712/32,771/9884

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 712,771

Least Common Multiple of Numerators i.e. LCM of 712,771 is 548952.

GCF of Denominators means GCF of 32,9884 as per the given fractions.

GCF of 32,9884 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,771

LCM of Fractions 712/32,771/9884 is 137238

Given numbers has no common factors except 1. So, there LCM is their product i.e 548952

Least Common Multiple of 712,771 with GCF Formula

Least Common Multiple of 712,771 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 712,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,771) = 1

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

GCF(712,771) x common factors =1 x 1 = 1

LCM(712,771) = ( 712 × 771 ) / 1

LCM(712,771) = 548952 / 1

LCM(712,771) = 548952


Lets's calculate GCF of 32,9884

2 32, 9884
2 16, 4942
8, 2471

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548952/4

Therefore the LCM of Fractions 712/32,771/9884 is 137238

Greatest Common Factor of 32,9884 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9884 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Greatest Common Factor

We found the factors 32,9884 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9884 is 4.


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 712/32, 771/9884

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 712/32, 771/9884?

Answer: LCM of Numerators as per given numbers 712/32, 771/9884 is

LCM of Numerators i.e. for 712,771 is 548952

GCF of denominators i.e. for 32,9884 is 4.

Thus, LCM of Fractions is 137238.Finally, LCM of Fractions for 712/32, 771/9884 is 137238.