Least Common Multiple of 7238/765, 5791/1224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7238/765, 5791/1224 quickly i.e. 41915258/153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7238/765, 5791/1224 is 41915258/153.

LCM(7238/765, 5791/1224) = 41915258/153

LCM of 7238/765, 5791/1224

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 7238/765,5791/1224

Given numbers are 7238/765,5791/1224

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 7238,5791

Least Common Multiple of Numerators i.e. LCM of 7238,5791 is 41915258.

GCF of Denominators means GCF of 765,1224 as per the given fractions.

GCF of 765,1224 is 153 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7238,5791

LCM of Fractions 7238/765,5791/1224 is 41915258/153

Given numbers has no common factors except 1. So, there LCM is their product i.e 41915258

Least Common Multiple of 7238,5791 with GCF Formula

Least Common Multiple of 7238,5791 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 7238,5791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7238,5791) = 1

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

GCF(7238,5791) x common factors =1 x 1 = 1

LCM(7238,5791) = ( 7238 × 5791 ) / 1

LCM(7238,5791) = 41915258 / 1

LCM(7238,5791) = 41915258


Lets's calculate GCF of 765,1224

3 765, 1224
3 255, 408
17 85, 136
5, 8

∴ So the GCF of the given numbers is 3 x 3 x 17 = 153

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41915258/153

Therefore the LCM of Fractions 7238/765,5791/1224 is 41915258/153

Greatest Common Factor of 765,1224 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,1224 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224

Greatest Common Factor

We found the factors 765,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 765,1224 is 153.


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 7238/765, 5791/1224

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 7238/765, 5791/1224?

Answer: LCM of Numerators as per given numbers 7238/765, 5791/1224 is

LCM of Numerators i.e. for 7238,5791 is 41915258

GCF of denominators i.e. for 765,1224 is 153.

Thus, LCM of Fractions is 41915258/153.Finally, LCM of Fractions for 7238/765, 5791/1224 is 41915258/153.