Least Common Multiple of 50/113, 14/483, 660/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/113, 14/483, 660/474 quickly i.e. 23100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/113, 14/483, 660/474 is 23100.

LCM(50/113, 14/483, 660/474) = 23100

LCM of 50/113, 14/483, 660/474

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 50/113,14/483,660/474

Given numbers are 50/113,14/483,660/474

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 50,14,660

Least Common Multiple of Numerators i.e. LCM of 50,14,660 is 23100.

GCF of Denominators means GCF of 113,483,474 as per the given fractions.

GCF of 113,483,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,14,660

LCM of Fractions 50/113,14/483,660/474 is 23100

2 50, 14, 660
5 25, 7, 330
5, 7, 66

∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 66 = 23100

Least Common Multiple of 50,14,660 with GCF Formula

Least Common Multiple of 50,14,660 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 50,14,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,14,660) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(50,14,660) x common factors =2 x 10 = 20

LCM(50,14,660) = ( 50 × 14 × 660 ) / 20

LCM(50,14,660) = 462000 / 20

LCM(50,14,660) = 23100


Lets's calculate GCF of 113,483,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23100/1

Therefore the LCM of Fractions 50/113,14/483,660/474 is 23100

Greatest Common Factor of 113,483,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,483,474 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

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 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 113,483,474 . The biggest common factor number is the GCF number.
So the greatest common factor 113,483,474 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 50/113, 14/483, 660/474

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 50/113, 14/483, 660/474?

Answer: LCM of Numerators as per given numbers 50/113, 14/483, 660/474 is

LCM of Numerators i.e. for 50,14,660 is 23100

GCF of denominators i.e. for 113,483,474 is 1.

Thus, LCM of Fractions is 23100.Finally, LCM of Fractions for 50/113, 14/483, 660/474 is 23100.