Least Common Multiple of 19/12, 63/368, 654/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/12, 63/368, 654/562 quickly i.e. 130473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/12, 63/368, 654/562 is 130473.

LCM(19/12, 63/368, 654/562) = 130473

LCM of 19/12, 63/368, 654/562

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 19/12,63/368,654/562

Given numbers are 19/12,63/368,654/562

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 19,63,654

Least Common Multiple of Numerators i.e. LCM of 19,63,654 is 260946.

GCF of Denominators means GCF of 12,368,562 as per the given fractions.

GCF of 12,368,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,63,654

LCM of Fractions 19/12,63/368,654/562 is 130473

3 19, 63, 654
19, 21, 218

∴ So the LCM of the given numbers is 3 x 19 x 21 x 218 = 260946

Least Common Multiple of 19,63,654 with GCF Formula

Least Common Multiple of 19,63,654 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 19,63,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,63,654) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,63,654) x common factors =1 x 3 = 3

LCM(19,63,654) = ( 19 × 63 × 654 ) / 3

LCM(19,63,654) = 782838 / 3

LCM(19,63,654) = 260946


Lets's calculate GCF of 12,368,562

2 12, 368, 562
6, 184, 281

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260946/2

Therefore the LCM of Fractions 19/12,63/368,654/562 is 130473

Greatest Common Factor of 12,368,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,368,562 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 12,368,562 . The biggest common factor number is the GCF number.
So the greatest common factor 12,368,562 is 2.


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 19/12, 63/368, 654/562

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 19/12, 63/368, 654/562?

Answer: LCM of Numerators as per given numbers 19/12, 63/368, 654/562 is

LCM of Numerators i.e. for 19,63,654 is 260946

GCF of denominators i.e. for 12,368,562 is 2.

Thus, LCM of Fractions is 130473.Finally, LCM of Fractions for 19/12, 63/368, 654/562 is 130473.