Least Common Multiple of 53/367, 3384/8760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/367, 3384/8760 quickly i.e. 179352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/367, 3384/8760 is 179352.

LCM(53/367, 3384/8760) = 179352

LCM of 53/367, 3384/8760

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 53/367,3384/8760

Given numbers are 53/367,3384/8760

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 53,3384

Least Common Multiple of Numerators i.e. LCM of 53,3384 is 179352.

GCF of Denominators means GCF of 367,8760 as per the given fractions.

GCF of 367,8760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,3384

LCM of Fractions 53/367,3384/8760 is 179352

Given numbers has no common factors except 1. So, there LCM is their product i.e 179352

Least Common Multiple of 53,3384 with GCF Formula

Least Common Multiple of 53,3384 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 53,3384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3384) = 1

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

GCF(53,3384) x common factors =1 x 1 = 1

LCM(53,3384) = ( 53 × 3384 ) / 1

LCM(53,3384) = 179352 / 1

LCM(53,3384) = 179352


Lets's calculate GCF of 367,8760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179352/1

Therefore the LCM of Fractions 53/367,3384/8760 is 179352

Greatest Common Factor of 367,8760 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,8760 By Matching Biggest Common Factor Method

Factors of 367

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

1,367

Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760

Greatest Common Factor

We found the factors 367,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 367,8760 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 53/367, 3384/8760

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 53/367, 3384/8760?

Answer: LCM of Numerators as per given numbers 53/367, 3384/8760 is

LCM of Numerators i.e. for 53,3384 is 179352

GCF of denominators i.e. for 367,8760 is 1.

Thus, LCM of Fractions is 179352.Finally, LCM of Fractions for 53/367, 3384/8760 is 179352.