Least Common Multiple of 156/16, 468/33, 386/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/16, 468/33, 386/34 quickly i.e. 90324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/16, 468/33, 386/34 is 90324.

LCM(156/16, 468/33, 386/34) = 90324

LCM of 156/16, 468/33, 386/34

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 156/16,468/33,386/34

Given numbers are 156/16,468/33,386/34

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 156,468,386

Least Common Multiple of Numerators i.e. LCM of 156,468,386 is 90324.

GCF of Denominators means GCF of 16,33,34 as per the given fractions.

GCF of 16,33,34 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,468,386

LCM of Fractions 156/16,468/33,386/34 is 90324

2 156, 468, 386
2 78, 234, 193
3 39, 117, 193
13 13, 39, 193
1, 3, 193

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 3 x 193 = 90324

Least Common Multiple of 156,468,386 with GCF Formula

Least Common Multiple of 156,468,386 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 156,468,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,468,386) = 2

common factors(in case of two or more numbers have common factors) = 156

GCF(156,468,386) x common factors =2 x 156 = 312

LCM(156,468,386) = ( 156 × 468 × 386 ) / 312

LCM(156,468,386) = 28181088 / 312

LCM(156,468,386) = 90324


Lets's calculate GCF of 16,33,34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90324/1

Therefore the LCM of Fractions 156/16,468/33,386/34 is 90324

Greatest Common Factor of 16,33,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,33,34 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 16,33,34 . The biggest common factor number is the GCF number.
So the greatest common factor 16,33,34 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 156/16, 468/33, 386/34

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 156/16, 468/33, 386/34?

Answer: LCM of Numerators as per given numbers 156/16, 468/33, 386/34 is

LCM of Numerators i.e. for 156,468,386 is 90324

GCF of denominators i.e. for 16,33,34 is 1.

Thus, LCM of Fractions is 90324.Finally, LCM of Fractions for 156/16, 468/33, 386/34 is 90324.