Least Common Multiple of 69/888, 17/586, 574/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/888, 17/586, 574/138 quickly i.e. 336651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/888, 17/586, 574/138 is 336651.

LCM(69/888, 17/586, 574/138) = 336651

LCM of 69/888, 17/586, 574/138

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 69/888,17/586,574/138

Given numbers are 69/888,17/586,574/138

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 69,17,574

Least Common Multiple of Numerators i.e. LCM of 69,17,574 is 673302.

GCF of Denominators means GCF of 888,586,138 as per the given fractions.

GCF of 888,586,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,17,574

LCM of Fractions 69/888,17/586,574/138 is 336651

Given numbers has no common factors except 1. So, there LCM is their product i.e 673302

Least Common Multiple of 69,17,574 with GCF Formula

Least Common Multiple of 69,17,574 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 69,17,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,17,574) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(69,17,574) x common factors =1 x 1 = 1

LCM(69,17,574) = ( 69 × 17 × 574 ) / 1

LCM(69,17,574) = 673302 / 1

LCM(69,17,574) = 673302


Lets's calculate GCF of 888,586,138

2 888, 586, 138
444, 293, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 673302/2

Therefore the LCM of Fractions 69/888,17/586,574/138 is 336651

Greatest Common Factor of 888,586,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,586,138 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 888,586,138 . The biggest common factor number is the GCF number.
So the greatest common factor 888,586,138 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 69/888, 17/586, 574/138

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 69/888, 17/586, 574/138?

Answer: LCM of Numerators as per given numbers 69/888, 17/586, 574/138 is

LCM of Numerators i.e. for 69,17,574 is 673302

GCF of denominators i.e. for 888,586,138 is 2.

Thus, LCM of Fractions is 336651.Finally, LCM of Fractions for 69/888, 17/586, 574/138 is 336651.