Least Common Multiple of 166/43, 214/15, 314/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 166/43, 214/15, 314/396 quickly i.e. 2788634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 166/43, 214/15, 314/396 is 2788634.

LCM(166/43, 214/15, 314/396) = 2788634

LCM of 166/43, 214/15, 314/396

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 166/43,214/15,314/396

Given numbers are 166/43,214/15,314/396

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 166,214,314

Least Common Multiple of Numerators i.e. LCM of 166,214,314 is 2788634.

GCF of Denominators means GCF of 43,15,396 as per the given fractions.

GCF of 43,15,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 166,214,314

LCM of Fractions 166/43,214/15,314/396 is 2788634

2 166, 214, 314
83, 107, 157

∴ So the LCM of the given numbers is 2 x 83 x 107 x 157 = 2788634

Least Common Multiple of 166,214,314 with GCF Formula

Least Common Multiple of 166,214,314 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 166,214,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,214,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(166,214,314) x common factors =2 x 2 = 4

LCM(166,214,314) = ( 166 × 214 × 314 ) / 4

LCM(166,214,314) = 11154536 / 4

LCM(166,214,314) = 2788634


Lets's calculate GCF of 43,15,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2788634/1

Therefore the LCM of Fractions 166/43,214/15,314/396 is 2788634

Greatest Common Factor of 43,15,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,15,396 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 43,15,396 . The biggest common factor number is the GCF number.
So the greatest common factor 43,15,396 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 166/43, 214/15, 314/396

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 166/43, 214/15, 314/396?

Answer: LCM of Numerators as per given numbers 166/43, 214/15, 314/396 is

LCM of Numerators i.e. for 166,214,314 is 2788634

GCF of denominators i.e. for 43,15,396 is 1.

Thus, LCM of Fractions is 2788634.Finally, LCM of Fractions for 166/43, 214/15, 314/396 is 2788634.