Least Common Multiple of 7489/277, 9736/3605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7489/277, 9736/3605 quickly i.e. 72912904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7489/277, 9736/3605 is 72912904.

LCM(7489/277, 9736/3605) = 72912904

LCM of 7489/277, 9736/3605

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 7489/277,9736/3605

Given numbers are 7489/277,9736/3605

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 7489,9736

Least Common Multiple of Numerators i.e. LCM of 7489,9736 is 72912904.

GCF of Denominators means GCF of 277,3605 as per the given fractions.

GCF of 277,3605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7489,9736

LCM of Fractions 7489/277,9736/3605 is 72912904

Given numbers has no common factors except 1. So, there LCM is their product i.e 72912904

Least Common Multiple of 7489,9736 with GCF Formula

Least Common Multiple of 7489,9736 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 7489,9736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7489,9736) = 1

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

GCF(7489,9736) x common factors =1 x 1 = 1

LCM(7489,9736) = ( 7489 × 9736 ) / 1

LCM(7489,9736) = 72912904 / 1

LCM(7489,9736) = 72912904


Lets's calculate GCF of 277,3605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72912904/1

Therefore the LCM of Fractions 7489/277,9736/3605 is 72912904

Greatest Common Factor of 277,3605 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,3605 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

Greatest Common Factor

We found the factors 277,3605 . The biggest common factor number is the GCF number.
So the greatest common factor 277,3605 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 7489/277, 9736/3605

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 7489/277, 9736/3605?

Answer: LCM of Numerators as per given numbers 7489/277, 9736/3605 is

LCM of Numerators i.e. for 7489,9736 is 72912904

GCF of denominators i.e. for 277,3605 is 1.

Thus, LCM of Fractions is 72912904.Finally, LCM of Fractions for 7489/277, 9736/3605 is 72912904.