Least Common Multiple of 66/84, 91/427, 234/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/84, 91/427, 234/189 quickly i.e. 2574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/84, 91/427, 234/189 is 2574.

LCM(66/84, 91/427, 234/189) = 2574

LCM of 66/84, 91/427, 234/189

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 66/84,91/427,234/189

Given numbers are 66/84,91/427,234/189

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 66,91,234

Least Common Multiple of Numerators i.e. LCM of 66,91,234 is 18018.

GCF of Denominators means GCF of 84,427,189 as per the given fractions.

GCF of 84,427,189 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,91,234

LCM of Fractions 66/84,91/427,234/189 is 2574

2 66, 91, 234
3 33, 91, 117
13 11, 91, 39
11, 7, 3

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 7 x 3 = 18018

Least Common Multiple of 66,91,234 with GCF Formula

Least Common Multiple of 66,91,234 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 66,91,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,91,234) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(66,91,234) x common factors =1 x 78 = 78

LCM(66,91,234) = ( 66 × 91 × 234 ) / 78

LCM(66,91,234) = 1405404 / 78

LCM(66,91,234) = 18018


Lets's calculate GCF of 84,427,189

7 84, 427, 189
12, 61, 27

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18018/7

Therefore the LCM of Fractions 66/84,91/427,234/189 is 2574

Greatest Common Factor of 84,427,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,427,189 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 84,427,189 . The biggest common factor number is the GCF number.
So the greatest common factor 84,427,189 is 7.


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 66/84, 91/427, 234/189

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 66/84, 91/427, 234/189?

Answer: LCM of Numerators as per given numbers 66/84, 91/427, 234/189 is

LCM of Numerators i.e. for 66,91,234 is 18018

GCF of denominators i.e. for 84,427,189 is 7.

Thus, LCM of Fractions is 2574.Finally, LCM of Fractions for 66/84, 91/427, 234/189 is 2574.