Least Common Multiple of 782/843, 575/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/843, 575/741 quickly i.e. 19550/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/843, 575/741 is 19550/3.

LCM(782/843, 575/741) = 19550/3

LCM of 782/843, 575/741

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 782/843,575/741

Given numbers are 782/843,575/741

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 782,575

Least Common Multiple of Numerators i.e. LCM of 782,575 is 19550.

GCF of Denominators means GCF of 843,741 as per the given fractions.

GCF of 843,741 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,575

LCM of Fractions 782/843,575/741 is 19550/3

23 782, 575
34, 25

∴ So the LCM of the given numbers is 23 x 34 x 25 = 19550

Least Common Multiple of 782,575 with GCF Formula

Least Common Multiple of 782,575 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 782,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,575) = 23

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

GCF(782,575) x common factors =23 x 1 = 23

LCM(782,575) = ( 782 × 575 ) / 23

LCM(782,575) = 449650 / 23

LCM(782,575) = 19550


Lets's calculate GCF of 843,741

3 843, 741
281, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19550/3

Therefore the LCM of Fractions 782/843,575/741 is 19550/3

Greatest Common Factor of 843,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,741 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 843,741 . The biggest common factor number is the GCF number.
So the greatest common factor 843,741 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 782/843, 575/741

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 782/843, 575/741?

Answer: LCM of Numerators as per given numbers 782/843, 575/741 is

LCM of Numerators i.e. for 782,575 is 19550

GCF of denominators i.e. for 843,741 is 3.

Thus, LCM of Fractions is 19550/3.Finally, LCM of Fractions for 782/843, 575/741 is 19550/3.