Least Common Multiple of 9457/729, 7762/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9457/729, 7762/807 quickly i.e. 73405234/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9457/729, 7762/807 is 73405234/3.

LCM(9457/729, 7762/807) = 73405234/3

LCM of 9457/729, 7762/807

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 9457/729,7762/807

Given numbers are 9457/729,7762/807

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 9457,7762

Least Common Multiple of Numerators i.e. LCM of 9457,7762 is 73405234.

GCF of Denominators means GCF of 729,807 as per the given fractions.

GCF of 729,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9457,7762

LCM of Fractions 9457/729,7762/807 is 73405234/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 73405234

Least Common Multiple of 9457,7762 with GCF Formula

Least Common Multiple of 9457,7762 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 9457,7762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9457,7762) = 1

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

GCF(9457,7762) x common factors =1 x 1 = 1

LCM(9457,7762) = ( 9457 × 7762 ) / 1

LCM(9457,7762) = 73405234 / 1

LCM(9457,7762) = 73405234


Lets's calculate GCF of 729,807

3 729, 807
243, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73405234/3

Therefore the LCM of Fractions 9457/729,7762/807 is 73405234/3

Greatest Common Factor of 729,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,807 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 729,807 . The biggest common factor number is the GCF number.
So the greatest common factor 729,807 is 3.


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 9457/729, 7762/807

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 9457/729, 7762/807?

Answer: LCM of Numerators as per given numbers 9457/729, 7762/807 is

LCM of Numerators i.e. for 9457,7762 is 73405234

GCF of denominators i.e. for 729,807 is 3.

Thus, LCM of Fractions is 73405234/3.Finally, LCM of Fractions for 9457/729, 7762/807 is 73405234/3.