Least Common Multiple of 583/792, 761/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/792, 761/719 quickly i.e. 443663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/792, 761/719 is 443663.

LCM(583/792, 761/719) = 443663

LCM of 583/792, 761/719

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 583/792,761/719

Given numbers are 583/792,761/719

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 583,761

Least Common Multiple of Numerators i.e. LCM of 583,761 is 443663.

GCF of Denominators means GCF of 792,719 as per the given fractions.

GCF of 792,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,761

LCM of Fractions 583/792,761/719 is 443663

Given numbers has no common factors except 1. So, there LCM is their product i.e 443663

Least Common Multiple of 583,761 with GCF Formula

Least Common Multiple of 583,761 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 583,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,761) = 1

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

GCF(583,761) x common factors =1 x 1 = 1

LCM(583,761) = ( 583 × 761 ) / 1

LCM(583,761) = 443663 / 1

LCM(583,761) = 443663


Lets's calculate GCF of 792,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443663/1

Therefore the LCM of Fractions 583/792,761/719 is 443663

Greatest Common Factor of 792,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,719 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 792,719 . The biggest common factor number is the GCF number.
So the greatest common factor 792,719 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 583/792, 761/719

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 583/792, 761/719?

Answer: LCM of Numerators as per given numbers 583/792, 761/719 is

LCM of Numerators i.e. for 583,761 is 443663

GCF of denominators i.e. for 792,719 is 1.

Thus, LCM of Fractions is 443663.Finally, LCM of Fractions for 583/792, 761/719 is 443663.