Least Common Multiple of 50/822, 9460/3723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/822, 9460/3723 quickly i.e. 47300/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/822, 9460/3723 is 47300/3.

LCM(50/822, 9460/3723) = 47300/3

LCM of 50/822, 9460/3723

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 50/822,9460/3723

Given numbers are 50/822,9460/3723

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 50,9460

Least Common Multiple of Numerators i.e. LCM of 50,9460 is 47300.

GCF of Denominators means GCF of 822,3723 as per the given fractions.

GCF of 822,3723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,9460

LCM of Fractions 50/822,9460/3723 is 47300/3

2 50, 9460
5 25, 4730
5, 946

∴ So the LCM of the given numbers is 2 x 5 x 5 x 946 = 47300

Least Common Multiple of 50,9460 with GCF Formula

Least Common Multiple of 50,9460 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 50,9460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,9460) = 10

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

GCF(50,9460) x common factors =10 x 1 = 10

LCM(50,9460) = ( 50 × 9460 ) / 10

LCM(50,9460) = 473000 / 10

LCM(50,9460) = 47300


Lets's calculate GCF of 822,3723

3 822, 3723
274, 1241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47300/3

Therefore the LCM of Fractions 50/822,9460/3723 is 47300/3

Greatest Common Factor of 822,3723 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,3723 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Greatest Common Factor

We found the factors 822,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 822,3723 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 50/822, 9460/3723

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 50/822, 9460/3723?

Answer: LCM of Numerators as per given numbers 50/822, 9460/3723 is

LCM of Numerators i.e. for 50,9460 is 47300

GCF of denominators i.e. for 822,3723 is 3.

Thus, LCM of Fractions is 47300/3.Finally, LCM of Fractions for 50/822, 9460/3723 is 47300/3.