Least Common Multiple of 668/86, 684/28, 486/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/86, 684/28, 486/442 quickly i.e. 1542078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/86, 684/28, 486/442 is 1542078.

LCM(668/86, 684/28, 486/442) = 1542078

LCM of 668/86, 684/28, 486/442

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 668/86,684/28,486/442

Given numbers are 668/86,684/28,486/442

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 668,684,486

Least Common Multiple of Numerators i.e. LCM of 668,684,486 is 3084156.

GCF of Denominators means GCF of 86,28,442 as per the given fractions.

GCF of 86,28,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,684,486

LCM of Fractions 668/86,684/28,486/442 is 1542078

2 668, 684, 486
2 334, 342, 243
3 167, 171, 243
3 167, 57, 81
167, 19, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 167 x 19 x 27 = 3084156

Least Common Multiple of 668,684,486 with GCF Formula

Least Common Multiple of 668,684,486 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 668,684,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,684,486) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(668,684,486) x common factors =2 x 36 = 72

LCM(668,684,486) = ( 668 × 684 × 486 ) / 72

LCM(668,684,486) = 222059232 / 72

LCM(668,684,486) = 3084156


Lets's calculate GCF of 86,28,442

2 86, 28, 442
43, 14, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3084156/2

Therefore the LCM of Fractions 668/86,684/28,486/442 is 1542078

Greatest Common Factor of 86,28,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,28,442 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 86,28,442 . The biggest common factor number is the GCF number.
So the greatest common factor 86,28,442 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 668/86, 684/28, 486/442

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 668/86, 684/28, 486/442?

Answer: LCM of Numerators as per given numbers 668/86, 684/28, 486/442 is

LCM of Numerators i.e. for 668,684,486 is 3084156

GCF of denominators i.e. for 86,28,442 is 2.

Thus, LCM of Fractions is 1542078.Finally, LCM of Fractions for 668/86, 684/28, 486/442 is 1542078.