Least Common Multiple of 4304/360, 8140/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4304/360, 8140/905 quickly i.e. 1751728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4304/360, 8140/905 is 1751728.

LCM(4304/360, 8140/905) = 1751728

LCM of 4304/360, 8140/905

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 4304/360,8140/905

Given numbers are 4304/360,8140/905

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 4304,8140

Least Common Multiple of Numerators i.e. LCM of 4304,8140 is 8758640.

GCF of Denominators means GCF of 360,905 as per the given fractions.

GCF of 360,905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4304,8140

LCM of Fractions 4304/360,8140/905 is 1751728

2 4304, 8140
2 2152, 4070
1076, 2035

∴ So the LCM of the given numbers is 2 x 2 x 1076 x 2035 = 8758640

Least Common Multiple of 4304,8140 with GCF Formula

Least Common Multiple of 4304,8140 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 4304,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4304,8140) = 4

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

GCF(4304,8140) x common factors =4 x 1 = 4

LCM(4304,8140) = ( 4304 × 8140 ) / 4

LCM(4304,8140) = 35034560 / 4

LCM(4304,8140) = 8758640


Lets's calculate GCF of 360,905

5 360, 905
72, 181

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8758640/5

Therefore the LCM of Fractions 4304/360,8140/905 is 1751728

Greatest Common Factor of 360,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,905 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 360,905 . The biggest common factor number is the GCF number.
So the greatest common factor 360,905 is 5.


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 4304/360, 8140/905

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 4304/360, 8140/905?

Answer: LCM of Numerators as per given numbers 4304/360, 8140/905 is

LCM of Numerators i.e. for 4304,8140 is 8758640

GCF of denominators i.e. for 360,905 is 5.

Thus, LCM of Fractions is 1751728.Finally, LCM of Fractions for 4304/360, 8140/905 is 1751728.