Least Common Multiple of 19/213, 27/814, 400/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/213, 27/814, 400/274 quickly i.e. 205200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/213, 27/814, 400/274 is 205200.

LCM(19/213, 27/814, 400/274) = 205200

LCM of 19/213, 27/814, 400/274

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 19/213,27/814,400/274

Given numbers are 19/213,27/814,400/274

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 19,27,400

Least Common Multiple of Numerators i.e. LCM of 19,27,400 is 205200.

GCF of Denominators means GCF of 213,814,274 as per the given fractions.

GCF of 213,814,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,27,400

LCM of Fractions 19/213,27/814,400/274 is 205200

Given numbers has no common factors except 1. So, there LCM is their product i.e 205200

Least Common Multiple of 19,27,400 with GCF Formula

Least Common Multiple of 19,27,400 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 19,27,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,27,400) = 1

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

GCF(19,27,400) x common factors =1 x 1 = 1

LCM(19,27,400) = ( 19 × 27 × 400 ) / 1

LCM(19,27,400) = 205200 / 1

LCM(19,27,400) = 205200


Lets's calculate GCF of 213,814,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205200/1

Therefore the LCM of Fractions 19/213,27/814,400/274 is 205200

Greatest Common Factor of 213,814,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,814,274 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 213,814,274 . The biggest common factor number is the GCF number.
So the greatest common factor 213,814,274 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 19/213, 27/814, 400/274

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 19/213, 27/814, 400/274?

Answer: LCM of Numerators as per given numbers 19/213, 27/814, 400/274 is

LCM of Numerators i.e. for 19,27,400 is 205200

GCF of denominators i.e. for 213,814,274 is 1.

Thus, LCM of Fractions is 205200.Finally, LCM of Fractions for 19/213, 27/814, 400/274 is 205200.