Least Common Multiple of 34/462, 43/367, 168/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/462, 43/367, 168/891 quickly i.e. 122808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/462, 43/367, 168/891 is 122808.

LCM(34/462, 43/367, 168/891) = 122808

LCM of 34/462, 43/367, 168/891

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 34/462,43/367,168/891

Given numbers are 34/462,43/367,168/891

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 34,43,168

Least Common Multiple of Numerators i.e. LCM of 34,43,168 is 122808.

GCF of Denominators means GCF of 462,367,891 as per the given fractions.

GCF of 462,367,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,43,168

LCM of Fractions 34/462,43/367,168/891 is 122808

2 34, 43, 168
17, 43, 84

∴ So the LCM of the given numbers is 2 x 17 x 43 x 84 = 122808

Least Common Multiple of 34,43,168 with GCF Formula

Least Common Multiple of 34,43,168 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 34,43,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,43,168) = 1

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

GCF(34,43,168) x common factors =1 x 2 = 2

LCM(34,43,168) = ( 34 × 43 × 168 ) / 2

LCM(34,43,168) = 245616 / 2

LCM(34,43,168) = 122808


Lets's calculate GCF of 462,367,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122808/1

Therefore the LCM of Fractions 34/462,43/367,168/891 is 122808

Greatest Common Factor of 462,367,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,367,891 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 462,367,891 . The biggest common factor number is the GCF number.
So the greatest common factor 462,367,891 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 34/462, 43/367, 168/891

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 34/462, 43/367, 168/891?

Answer: LCM of Numerators as per given numbers 34/462, 43/367, 168/891 is

LCM of Numerators i.e. for 34,43,168 is 122808

GCF of denominators i.e. for 462,367,891 is 1.

Thus, LCM of Fractions is 122808.Finally, LCM of Fractions for 34/462, 43/367, 168/891 is 122808.