Least Common Multiple of 19/778, 12/332, 900/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/778, 12/332, 900/321 quickly i.e. 17100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/778, 12/332, 900/321 is 17100.

LCM(19/778, 12/332, 900/321) = 17100

LCM of 19/778, 12/332, 900/321

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 19/778,12/332,900/321

Given numbers are 19/778,12/332,900/321

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 19,12,900

Least Common Multiple of Numerators i.e. LCM of 19,12,900 is 17100.

GCF of Denominators means GCF of 778,332,321 as per the given fractions.

GCF of 778,332,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,12,900

LCM of Fractions 19/778,12/332,900/321 is 17100

2 19, 12, 900
2 19, 6, 450
3 19, 3, 225
19, 1, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 75 = 17100

Least Common Multiple of 19,12,900 with GCF Formula

Least Common Multiple of 19,12,900 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 19,12,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,12,900) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(19,12,900) x common factors =1 x 12 = 12

LCM(19,12,900) = ( 19 × 12 × 900 ) / 12

LCM(19,12,900) = 205200 / 12

LCM(19,12,900) = 17100


Lets's calculate GCF of 778,332,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17100/1

Therefore the LCM of Fractions 19/778,12/332,900/321 is 17100

Greatest Common Factor of 778,332,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,332,321 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 778,332,321 . The biggest common factor number is the GCF number.
So the greatest common factor 778,332,321 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 19/778, 12/332, 900/321

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 19/778, 12/332, 900/321?

Answer: LCM of Numerators as per given numbers 19/778, 12/332, 900/321 is

LCM of Numerators i.e. for 19,12,900 is 17100

GCF of denominators i.e. for 778,332,321 is 1.

Thus, LCM of Fractions is 17100.Finally, LCM of Fractions for 19/778, 12/332, 900/321 is 17100.