Least Common Multiple of 7166/708, 9753/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7166/708, 9753/432 quickly i.e. 69889998/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7166/708, 9753/432 is 69889998/12.

LCM(7166/708, 9753/432) = 69889998/12

LCM of 7166/708, 9753/432

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 7166/708,9753/432

Given numbers are 7166/708,9753/432

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 7166,9753

Least Common Multiple of Numerators i.e. LCM of 7166,9753 is 69889998.

GCF of Denominators means GCF of 708,432 as per the given fractions.

GCF of 708,432 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7166,9753

LCM of Fractions 7166/708,9753/432 is 69889998/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 69889998

Least Common Multiple of 7166,9753 with GCF Formula

Least Common Multiple of 7166,9753 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 7166,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7166,9753) = 1

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

GCF(7166,9753) x common factors =1 x 1 = 1

LCM(7166,9753) = ( 7166 × 9753 ) / 1

LCM(7166,9753) = 69889998 / 1

LCM(7166,9753) = 69889998


Lets's calculate GCF of 708,432

2 708, 432
2 354, 216
3 177, 108
59, 36

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69889998/12

Therefore the LCM of Fractions 7166/708,9753/432 is 69889998/12

Greatest Common Factor of 708,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,432 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 708,432 . The biggest common factor number is the GCF number.
So the greatest common factor 708,432 is 12.


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 7166/708, 9753/432

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 7166/708, 9753/432?

Answer: LCM of Numerators as per given numbers 7166/708, 9753/432 is

LCM of Numerators i.e. for 7166,9753 is 69889998

GCF of denominators i.e. for 708,432 is 12.

Thus, LCM of Fractions is 69889998/12.Finally, LCM of Fractions for 7166/708, 9753/432 is 69889998/12.