Least Common Multiple of 46/162, 29/915, 336/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/162, 29/915, 336/648 quickly i.e. 74704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/162, 29/915, 336/648 is 74704.

LCM(46/162, 29/915, 336/648) = 74704

LCM of 46/162, 29/915, 336/648

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 46/162,29/915,336/648

Given numbers are 46/162,29/915,336/648

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 46,29,336

Least Common Multiple of Numerators i.e. LCM of 46,29,336 is 224112.

GCF of Denominators means GCF of 162,915,648 as per the given fractions.

GCF of 162,915,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,29,336

LCM of Fractions 46/162,29/915,336/648 is 74704

2 46, 29, 336
23, 29, 168

∴ So the LCM of the given numbers is 2 x 23 x 29 x 168 = 224112

Least Common Multiple of 46,29,336 with GCF Formula

Least Common Multiple of 46,29,336 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 46,29,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,29,336) = 1

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

GCF(46,29,336) x common factors =1 x 2 = 2

LCM(46,29,336) = ( 46 × 29 × 336 ) / 2

LCM(46,29,336) = 448224 / 2

LCM(46,29,336) = 224112


Lets's calculate GCF of 162,915,648

3 162, 915, 648
54, 305, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224112/3

Therefore the LCM of Fractions 46/162,29/915,336/648 is 74704

Greatest Common Factor of 162,915,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,915,648 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 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 162,915,648 . The biggest common factor number is the GCF number.
So the greatest common factor 162,915,648 is 3.


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 46/162, 29/915, 336/648

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 46/162, 29/915, 336/648?

Answer: LCM of Numerators as per given numbers 46/162, 29/915, 336/648 is

LCM of Numerators i.e. for 46,29,336 is 224112

GCF of denominators i.e. for 162,915,648 is 3.

Thus, LCM of Fractions is 74704.Finally, LCM of Fractions for 46/162, 29/915, 336/648 is 74704.