Least Common Multiple of 34/161, 86/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/161, 86/184 quickly i.e. 1462/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/161, 86/184 is 1462/23.

LCM(34/161, 86/184) = 1462/23

LCM of 34/161, 86/184

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 34/161,86/184

Given numbers are 34/161,86/184

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 34,86

Least Common Multiple of Numerators i.e. LCM of 34,86 is 1462.

GCF of Denominators means GCF of 161,184 as per the given fractions.

GCF of 161,184 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,86

LCM of Fractions 34/161,86/184 is 1462/23

2 34, 86
17, 43

∴ So the LCM of the given numbers is 2 x 17 x 43 = 1462

Least Common Multiple of 34,86 with GCF Formula

Least Common Multiple of 34,86 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 34,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,86) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(34,86) x common factors =2 x 1 = 2

LCM(34,86) = ( 34 × 86 ) / 2

LCM(34,86) = 2924 / 2

LCM(34,86) = 1462


Lets's calculate GCF of 161,184

23 161, 184
7, 8

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1462/23

Therefore the LCM of Fractions 34/161,86/184 is 1462/23

Greatest Common Factor of 161,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,184 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 161,184 . The biggest common factor number is the GCF number.
So the greatest common factor 161,184 is 23.


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 34/161, 86/184

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 34/161, 86/184?

Answer: LCM of Numerators as per given numbers 34/161, 86/184 is

LCM of Numerators i.e. for 34,86 is 1462

GCF of denominators i.e. for 161,184 is 23.

Thus, LCM of Fractions is 1462/23.Finally, LCM of Fractions for 34/161, 86/184 is 1462/23.