Least Common Multiple of 84/689, 38/287, 368/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/689, 38/287, 368/666 quickly i.e. 146832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/689, 38/287, 368/666 is 146832.

LCM(84/689, 38/287, 368/666) = 146832

LCM of 84/689, 38/287, 368/666

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 84/689,38/287,368/666

Given numbers are 84/689,38/287,368/666

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 84,38,368

Least Common Multiple of Numerators i.e. LCM of 84,38,368 is 146832.

GCF of Denominators means GCF of 689,287,666 as per the given fractions.

GCF of 689,287,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,38,368

LCM of Fractions 84/689,38/287,368/666 is 146832

2 84, 38, 368
2 42, 19, 184
21, 19, 92

∴ So the LCM of the given numbers is 2 x 2 x 21 x 19 x 92 = 146832

Least Common Multiple of 84,38,368 with GCF Formula

Least Common Multiple of 84,38,368 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 84,38,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,38,368) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(84,38,368) x common factors =2 x 4 = 8

LCM(84,38,368) = ( 84 × 38 × 368 ) / 8

LCM(84,38,368) = 1174656 / 8

LCM(84,38,368) = 146832


Lets's calculate GCF of 689,287,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146832/1

Therefore the LCM of Fractions 84/689,38/287,368/666 is 146832

Greatest Common Factor of 689,287,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,287,666 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 287

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

1,7,41,287

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 689,287,666 . The biggest common factor number is the GCF number.
So the greatest common factor 689,287,666 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 84/689, 38/287, 368/666

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 84/689, 38/287, 368/666?

Answer: LCM of Numerators as per given numbers 84/689, 38/287, 368/666 is

LCM of Numerators i.e. for 84,38,368 is 146832

GCF of denominators i.e. for 689,287,666 is 1.

Thus, LCM of Fractions is 146832.Finally, LCM of Fractions for 84/689, 38/287, 368/666 is 146832.