Least Common Multiple of 9727/504, 7805/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9727/504, 7805/725 quickly i.e. 75919235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9727/504, 7805/725 is 75919235.

LCM(9727/504, 7805/725) = 75919235

LCM of 9727/504, 7805/725

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 9727/504,7805/725

Given numbers are 9727/504,7805/725

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 9727,7805

Least Common Multiple of Numerators i.e. LCM of 9727,7805 is 75919235.

GCF of Denominators means GCF of 504,725 as per the given fractions.

GCF of 504,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9727,7805

LCM of Fractions 9727/504,7805/725 is 75919235

Given numbers has no common factors except 1. So, there LCM is their product i.e 75919235

Least Common Multiple of 9727,7805 with GCF Formula

Least Common Multiple of 9727,7805 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 9727,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9727,7805) = 1

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

GCF(9727,7805) x common factors =1 x 1 = 1

LCM(9727,7805) = ( 9727 × 7805 ) / 1

LCM(9727,7805) = 75919235 / 1

LCM(9727,7805) = 75919235


Lets's calculate GCF of 504,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75919235/1

Therefore the LCM of Fractions 9727/504,7805/725 is 75919235

Greatest Common Factor of 504,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,725 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 504,725 . The biggest common factor number is the GCF number.
So the greatest common factor 504,725 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 9727/504, 7805/725

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 9727/504, 7805/725?

Answer: LCM of Numerators as per given numbers 9727/504, 7805/725 is

LCM of Numerators i.e. for 9727,7805 is 75919235

GCF of denominators i.e. for 504,725 is 1.

Thus, LCM of Fractions is 75919235.Finally, LCM of Fractions for 9727/504, 7805/725 is 75919235.