Least Common Multiple of 46/984, 58/135, 159/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/984, 58/135, 159/440 quickly i.e. 212106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/984, 58/135, 159/440 is 212106.

LCM(46/984, 58/135, 159/440) = 212106

LCM of 46/984, 58/135, 159/440

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 46/984,58/135,159/440

Given numbers are 46/984,58/135,159/440

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 46,58,159

Least Common Multiple of Numerators i.e. LCM of 46,58,159 is 212106.

GCF of Denominators means GCF of 984,135,440 as per the given fractions.

GCF of 984,135,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,58,159

LCM of Fractions 46/984,58/135,159/440 is 212106

2 46, 58, 159
23, 29, 159

∴ So the LCM of the given numbers is 2 x 23 x 29 x 159 = 212106

Least Common Multiple of 46,58,159 with GCF Formula

Least Common Multiple of 46,58,159 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 46,58,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,58,159) = 1

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

GCF(46,58,159) x common factors =1 x 2 = 2

LCM(46,58,159) = ( 46 × 58 × 159 ) / 2

LCM(46,58,159) = 424212 / 2

LCM(46,58,159) = 212106


Lets's calculate GCF of 984,135,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212106/1

Therefore the LCM of Fractions 46/984,58/135,159/440 is 212106

Greatest Common Factor of 984,135,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,135,440 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 984,135,440 . The biggest common factor number is the GCF number.
So the greatest common factor 984,135,440 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 46/984, 58/135, 159/440

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 46/984, 58/135, 159/440?

Answer: LCM of Numerators as per given numbers 46/984, 58/135, 159/440 is

LCM of Numerators i.e. for 46,58,159 is 212106

GCF of denominators i.e. for 984,135,440 is 1.

Thus, LCM of Fractions is 212106.Finally, LCM of Fractions for 46/984, 58/135, 159/440 is 212106.