Least Common Multiple of 214/23, 357/50, 663/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/23, 357/50, 663/76 quickly i.e. 993174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/23, 357/50, 663/76 is 993174.

LCM(214/23, 357/50, 663/76) = 993174

LCM of 214/23, 357/50, 663/76

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 214/23,357/50,663/76

Given numbers are 214/23,357/50,663/76

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 214,357,663

Least Common Multiple of Numerators i.e. LCM of 214,357,663 is 993174.

GCF of Denominators means GCF of 23,50,76 as per the given fractions.

GCF of 23,50,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,357,663

LCM of Fractions 214/23,357/50,663/76 is 993174

3 214, 357, 663
17 214, 119, 221
214, 7, 13

∴ So the LCM of the given numbers is 3 x 17 x 214 x 7 x 13 = 993174

Least Common Multiple of 214,357,663 with GCF Formula

Least Common Multiple of 214,357,663 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 214,357,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,357,663) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(214,357,663) x common factors =1 x 51 = 51

LCM(214,357,663) = ( 214 × 357 × 663 ) / 51

LCM(214,357,663) = 50651874 / 51

LCM(214,357,663) = 993174


Lets's calculate GCF of 23,50,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 993174/1

Therefore the LCM of Fractions 214/23,357/50,663/76 is 993174

Greatest Common Factor of 23,50,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,50,76 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 23,50,76 . The biggest common factor number is the GCF number.
So the greatest common factor 23,50,76 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 214/23, 357/50, 663/76

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 214/23, 357/50, 663/76?

Answer: LCM of Numerators as per given numbers 214/23, 357/50, 663/76 is

LCM of Numerators i.e. for 214,357,663 is 993174

GCF of denominators i.e. for 23,50,76 is 1.

Thus, LCM of Fractions is 993174.Finally, LCM of Fractions for 214/23, 357/50, 663/76 is 993174.