Least Common Multiple of 34/84, 458/36, 168/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/84, 458/36, 168/846 quickly i.e. 109004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/84, 458/36, 168/846 is 109004.

LCM(34/84, 458/36, 168/846) = 109004

LCM of 34/84, 458/36, 168/846

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 34/84,458/36,168/846

Given numbers are 34/84,458/36,168/846

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 34,458,168

Least Common Multiple of Numerators i.e. LCM of 34,458,168 is 654024.

GCF of Denominators means GCF of 84,36,846 as per the given fractions.

GCF of 84,36,846 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,458,168

LCM of Fractions 34/84,458/36,168/846 is 109004

2 34, 458, 168
17, 229, 84

∴ So the LCM of the given numbers is 2 x 17 x 229 x 84 = 654024

Least Common Multiple of 34,458,168 with GCF Formula

Least Common Multiple of 34,458,168 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 34,458,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,458,168) = 2

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

GCF(34,458,168) x common factors =2 x 2 = 4

LCM(34,458,168) = ( 34 × 458 × 168 ) / 4

LCM(34,458,168) = 2616096 / 4

LCM(34,458,168) = 654024


Lets's calculate GCF of 84,36,846

2 84, 36, 846
3 42, 18, 423
14, 6, 141

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654024/6

Therefore the LCM of Fractions 34/84,458/36,168/846 is 109004

Greatest Common Factor of 84,36,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,36,846 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 84,36,846 . The biggest common factor number is the GCF number.
So the greatest common factor 84,36,846 is 6.


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 34/84, 458/36, 168/846

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 34/84, 458/36, 168/846?

Answer: LCM of Numerators as per given numbers 34/84, 458/36, 168/846 is

LCM of Numerators i.e. for 34,458,168 is 654024

GCF of denominators i.e. for 84,36,846 is 6.

Thus, LCM of Fractions is 109004.Finally, LCM of Fractions for 34/84, 458/36, 168/846 is 109004.