Least Common Multiple of 7403/780, 2849/2253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7403/780, 2849/2253 quickly i.e. 1917377/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7403/780, 2849/2253 is 1917377/3.

LCM(7403/780, 2849/2253) = 1917377/3

LCM of 7403/780, 2849/2253

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 7403/780,2849/2253

Given numbers are 7403/780,2849/2253

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 7403,2849

Least Common Multiple of Numerators i.e. LCM of 7403,2849 is 1917377.

GCF of Denominators means GCF of 780,2253 as per the given fractions.

GCF of 780,2253 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7403,2849

LCM of Fractions 7403/780,2849/2253 is 1917377/3

11 7403, 2849
673, 259

∴ So the LCM of the given numbers is 11 x 673 x 259 = 1917377

Least Common Multiple of 7403,2849 with GCF Formula

Least Common Multiple of 7403,2849 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 7403,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7403,2849) = 11

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

GCF(7403,2849) x common factors =11 x 1 = 11

LCM(7403,2849) = ( 7403 × 2849 ) / 11

LCM(7403,2849) = 21091147 / 11

LCM(7403,2849) = 1917377


Lets's calculate GCF of 780,2253

3 780, 2253
260, 751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1917377/3

Therefore the LCM of Fractions 7403/780,2849/2253 is 1917377/3

Greatest Common Factor of 780,2253 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,2253 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 2253

List of positive integer factors of 2253 that divides 2253 without a remainder.

1,3,751,2253

Greatest Common Factor

We found the factors 780,2253 . The biggest common factor number is the GCF number.
So the greatest common factor 780,2253 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 7403/780, 2849/2253

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 7403/780, 2849/2253?

Answer: LCM of Numerators as per given numbers 7403/780, 2849/2253 is

LCM of Numerators i.e. for 7403,2849 is 1917377

GCF of denominators i.e. for 780,2253 is 3.

Thus, LCM of Fractions is 1917377/3.Finally, LCM of Fractions for 7403/780, 2849/2253 is 1917377/3.