Least Common Multiple of 66/258, 11/984, 166/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/258, 11/984, 166/643 quickly i.e. 5478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/258, 11/984, 166/643 is 5478.

LCM(66/258, 11/984, 166/643) = 5478

LCM of 66/258, 11/984, 166/643

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 66/258,11/984,166/643

Given numbers are 66/258,11/984,166/643

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 66,11,166

Least Common Multiple of Numerators i.e. LCM of 66,11,166 is 5478.

GCF of Denominators means GCF of 258,984,643 as per the given fractions.

GCF of 258,984,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,11,166

LCM of Fractions 66/258,11/984,166/643 is 5478

2 66, 11, 166
11 33, 11, 83
3, 1, 83

∴ So the LCM of the given numbers is 2 x 11 x 3 x 1 x 83 = 5478

Least Common Multiple of 66,11,166 with GCF Formula

Least Common Multiple of 66,11,166 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 66,11,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,11,166) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(66,11,166) x common factors =1 x 22 = 22

LCM(66,11,166) = ( 66 × 11 × 166 ) / 22

LCM(66,11,166) = 120516 / 22

LCM(66,11,166) = 5478


Lets's calculate GCF of 258,984,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5478/1

Therefore the LCM of Fractions 66/258,11/984,166/643 is 5478

Greatest Common Factor of 258,984,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,984,643 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 258,984,643 . The biggest common factor number is the GCF number.
So the greatest common factor 258,984,643 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 66/258, 11/984, 166/643

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 66/258, 11/984, 166/643?

Answer: LCM of Numerators as per given numbers 66/258, 11/984, 166/643 is

LCM of Numerators i.e. for 66,11,166 is 5478

GCF of denominators i.e. for 258,984,643 is 1.

Thus, LCM of Fractions is 5478.Finally, LCM of Fractions for 66/258, 11/984, 166/643 is 5478.