Least Common Multiple of 34/180, 9547/2279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/180, 9547/2279 quickly i.e. 324598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/180, 9547/2279 is 324598.

LCM(34/180, 9547/2279) = 324598

LCM of 34/180, 9547/2279

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 34/180,9547/2279

Given numbers are 34/180,9547/2279

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 34,9547

Least Common Multiple of Numerators i.e. LCM of 34,9547 is 324598.

GCF of Denominators means GCF of 180,2279 as per the given fractions.

GCF of 180,2279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,9547

LCM of Fractions 34/180,9547/2279 is 324598

Given numbers has no common factors except 1. So, there LCM is their product i.e 324598

Least Common Multiple of 34,9547 with GCF Formula

Least Common Multiple of 34,9547 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 34,9547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,9547) = 1

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

GCF(34,9547) x common factors =1 x 1 = 1

LCM(34,9547) = ( 34 × 9547 ) / 1

LCM(34,9547) = 324598 / 1

LCM(34,9547) = 324598


Lets's calculate GCF of 180,2279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324598/1

Therefore the LCM of Fractions 34/180,9547/2279 is 324598

Greatest Common Factor of 180,2279 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,2279 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 2279

List of positive integer factors of 2279 that divides 2279 without a remainder.

1,43,53,2279

Greatest Common Factor

We found the factors 180,2279 . The biggest common factor number is the GCF number.
So the greatest common factor 180,2279 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 34/180, 9547/2279

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 34/180, 9547/2279?

Answer: LCM of Numerators as per given numbers 34/180, 9547/2279 is

LCM of Numerators i.e. for 34,9547 is 324598

GCF of denominators i.e. for 180,2279 is 1.

Thus, LCM of Fractions is 324598.Finally, LCM of Fractions for 34/180, 9547/2279 is 324598.