Least Common Multiple of 19/105, 95/287, 304/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/105, 95/287, 304/698 quickly i.e. 1520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/105, 95/287, 304/698 is 1520.

LCM(19/105, 95/287, 304/698) = 1520

LCM of 19/105, 95/287, 304/698

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 19/105,95/287,304/698

Given numbers are 19/105,95/287,304/698

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 19,95,304

Least Common Multiple of Numerators i.e. LCM of 19,95,304 is 1520.

GCF of Denominators means GCF of 105,287,698 as per the given fractions.

GCF of 105,287,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,95,304

LCM of Fractions 19/105,95/287,304/698 is 1520

19 19, 95, 304
1, 5, 16

∴ So the LCM of the given numbers is 19 x 1 x 5 x 16 = 1520

Least Common Multiple of 19,95,304 with GCF Formula

Least Common Multiple of 19,95,304 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 19,95,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,95,304) = 19

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

GCF(19,95,304) x common factors =19 x 19 = 361

LCM(19,95,304) = ( 19 × 95 × 304 ) / 361

LCM(19,95,304) = 548720 / 361

LCM(19,95,304) = 1520


Lets's calculate GCF of 105,287,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1520/1

Therefore the LCM of Fractions 19/105,95/287,304/698 is 1520

Greatest Common Factor of 105,287,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,287,698 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 105,287,698 . The biggest common factor number is the GCF number.
So the greatest common factor 105,287,698 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 19/105, 95/287, 304/698

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 19/105, 95/287, 304/698?

Answer: LCM of Numerators as per given numbers 19/105, 95/287, 304/698 is

LCM of Numerators i.e. for 19,95,304 is 1520

GCF of denominators i.e. for 105,287,698 is 1.

Thus, LCM of Fractions is 1520.Finally, LCM of Fractions for 19/105, 95/287, 304/698 is 1520.