Least Common Multiple of 1383/483, 5691/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1383/483, 5691/763 quickly i.e. 374793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1383/483, 5691/763 is 374793.

LCM(1383/483, 5691/763) = 374793

LCM of 1383/483, 5691/763

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 1383/483,5691/763

Given numbers are 1383/483,5691/763

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 1383,5691

Least Common Multiple of Numerators i.e. LCM of 1383,5691 is 2623551.

GCF of Denominators means GCF of 483,763 as per the given fractions.

GCF of 483,763 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1383,5691

LCM of Fractions 1383/483,5691/763 is 374793

3 1383, 5691
461, 1897

∴ So the LCM of the given numbers is 3 x 461 x 1897 = 2623551

Least Common Multiple of 1383,5691 with GCF Formula

Least Common Multiple of 1383,5691 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 1383,5691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1383,5691) = 3

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

GCF(1383,5691) x common factors =3 x 1 = 3

LCM(1383,5691) = ( 1383 × 5691 ) / 3

LCM(1383,5691) = 7870653 / 3

LCM(1383,5691) = 2623551


Lets's calculate GCF of 483,763

7 483, 763
69, 109

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2623551/7

Therefore the LCM of Fractions 1383/483,5691/763 is 374793

Greatest Common Factor of 483,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,763 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 483,763 . The biggest common factor number is the GCF number.
So the greatest common factor 483,763 is 7.


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 1383/483, 5691/763

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 1383/483, 5691/763?

Answer: LCM of Numerators as per given numbers 1383/483, 5691/763 is

LCM of Numerators i.e. for 1383,5691 is 2623551

GCF of denominators i.e. for 483,763 is 7.

Thus, LCM of Fractions is 374793.Finally, LCM of Fractions for 1383/483, 5691/763 is 374793.