Least Common Multiple of 66/162, 417/428, 344/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/162, 417/428, 344/195 quickly i.e. 1577928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/162, 417/428, 344/195 is 1577928.

LCM(66/162, 417/428, 344/195) = 1577928

LCM of 66/162, 417/428, 344/195

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 66/162,417/428,344/195

Given numbers are 66/162,417/428,344/195

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 66,417,344

Least Common Multiple of Numerators i.e. LCM of 66,417,344 is 1577928.

GCF of Denominators means GCF of 162,428,195 as per the given fractions.

GCF of 162,428,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,417,344

LCM of Fractions 66/162,417/428,344/195 is 1577928

2 66, 417, 344
3 33, 417, 172
11, 139, 172

∴ So the LCM of the given numbers is 2 x 3 x 11 x 139 x 172 = 1577928

Least Common Multiple of 66,417,344 with GCF Formula

Least Common Multiple of 66,417,344 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 66,417,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,417,344) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,417,344) x common factors =1 x 6 = 6

LCM(66,417,344) = ( 66 × 417 × 344 ) / 6

LCM(66,417,344) = 9467568 / 6

LCM(66,417,344) = 1577928


Lets's calculate GCF of 162,428,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1577928/1

Therefore the LCM of Fractions 66/162,417/428,344/195 is 1577928

Greatest Common Factor of 162,428,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,428,195 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 162,428,195 . The biggest common factor number is the GCF number.
So the greatest common factor 162,428,195 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 66/162, 417/428, 344/195

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 66/162, 417/428, 344/195?

Answer: LCM of Numerators as per given numbers 66/162, 417/428, 344/195 is

LCM of Numerators i.e. for 66,417,344 is 1577928

GCF of denominators i.e. for 162,428,195 is 1.

Thus, LCM of Fractions is 1577928.Finally, LCM of Fractions for 66/162, 417/428, 344/195 is 1577928.