Least Common Multiple of 698/36, 819/42, 308/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/36, 819/42, 308/663 quickly i.e. 4192188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/36, 819/42, 308/663 is 4192188.

LCM(698/36, 819/42, 308/663) = 4192188

LCM of 698/36, 819/42, 308/663

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 698/36,819/42,308/663

Given numbers are 698/36,819/42,308/663

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 698,819,308

Least Common Multiple of Numerators i.e. LCM of 698,819,308 is 12576564.

GCF of Denominators means GCF of 36,42,663 as per the given fractions.

GCF of 36,42,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,819,308

LCM of Fractions 698/36,819/42,308/663 is 4192188

2 698, 819, 308
7 349, 819, 154
349, 117, 22

∴ So the LCM of the given numbers is 2 x 7 x 349 x 117 x 22 = 12576564

Least Common Multiple of 698,819,308 with GCF Formula

Least Common Multiple of 698,819,308 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 698,819,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,819,308) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(698,819,308) x common factors =1 x 14 = 14

LCM(698,819,308) = ( 698 × 819 × 308 ) / 14

LCM(698,819,308) = 176071896 / 14

LCM(698,819,308) = 12576564


Lets's calculate GCF of 36,42,663

3 36, 42, 663
12, 14, 221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12576564/3

Therefore the LCM of Fractions 698/36,819/42,308/663 is 4192188

Greatest Common Factor of 36,42,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,42,663 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 36,42,663 . The biggest common factor number is the GCF number.
So the greatest common factor 36,42,663 is 3.


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 698/36, 819/42, 308/663

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 698/36, 819/42, 308/663?

Answer: LCM of Numerators as per given numbers 698/36, 819/42, 308/663 is

LCM of Numerators i.e. for 698,819,308 is 12576564

GCF of denominators i.e. for 36,42,663 is 3.

Thus, LCM of Fractions is 4192188.Finally, LCM of Fractions for 698/36, 819/42, 308/663 is 4192188.