Least Common Multiple of 19/400, 304/561, 427/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/400, 304/561, 427/428 quickly i.e. 129808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/400, 304/561, 427/428 is 129808.

LCM(19/400, 304/561, 427/428) = 129808

LCM of 19/400, 304/561, 427/428

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 19/400,304/561,427/428

Given numbers are 19/400,304/561,427/428

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 19,304,427

Least Common Multiple of Numerators i.e. LCM of 19,304,427 is 129808.

GCF of Denominators means GCF of 400,561,428 as per the given fractions.

GCF of 400,561,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,304,427

LCM of Fractions 19/400,304/561,427/428 is 129808

19 19, 304, 427
1, 16, 427

∴ So the LCM of the given numbers is 19 x 1 x 16 x 427 = 129808

Least Common Multiple of 19,304,427 with GCF Formula

Least Common Multiple of 19,304,427 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 19,304,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,304,427) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,304,427) x common factors =1 x 19 = 19

LCM(19,304,427) = ( 19 × 304 × 427 ) / 19

LCM(19,304,427) = 2466352 / 19

LCM(19,304,427) = 129808


Lets's calculate GCF of 400,561,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129808/1

Therefore the LCM of Fractions 19/400,304/561,427/428 is 129808

Greatest Common Factor of 400,561,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,561,428 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 400,561,428 . The biggest common factor number is the GCF number.
So the greatest common factor 400,561,428 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 19/400, 304/561, 427/428

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 19/400, 304/561, 427/428?

Answer: LCM of Numerators as per given numbers 19/400, 304/561, 427/428 is

LCM of Numerators i.e. for 19,304,427 is 129808

GCF of denominators i.e. for 400,561,428 is 1.

Thus, LCM of Fractions is 129808.Finally, LCM of Fractions for 19/400, 304/561, 427/428 is 129808.