Least Common Multiple of 3532/315, 5083/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3532/315, 5083/860 quickly i.e. 17953156/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3532/315, 5083/860 is 17953156/5.

LCM(3532/315, 5083/860) = 17953156/5

LCM of 3532/315, 5083/860

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 3532/315,5083/860

Given numbers are 3532/315,5083/860

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 3532,5083

Least Common Multiple of Numerators i.e. LCM of 3532,5083 is 17953156.

GCF of Denominators means GCF of 315,860 as per the given fractions.

GCF of 315,860 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3532,5083

LCM of Fractions 3532/315,5083/860 is 17953156/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 17953156

Least Common Multiple of 3532,5083 with GCF Formula

Least Common Multiple of 3532,5083 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 3532,5083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3532,5083) = 1

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

GCF(3532,5083) x common factors =1 x 1 = 1

LCM(3532,5083) = ( 3532 × 5083 ) / 1

LCM(3532,5083) = 17953156 / 1

LCM(3532,5083) = 17953156


Lets's calculate GCF of 315,860

5 315, 860
63, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17953156/5

Therefore the LCM of Fractions 3532/315,5083/860 is 17953156/5

Greatest Common Factor of 315,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,860 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 315,860 . The biggest common factor number is the GCF number.
So the greatest common factor 315,860 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3532/315, 5083/860

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 3532/315, 5083/860?

Answer: LCM of Numerators as per given numbers 3532/315, 5083/860 is

LCM of Numerators i.e. for 3532,5083 is 17953156

GCF of denominators i.e. for 315,860 is 5.

Thus, LCM of Fractions is 17953156/5.Finally, LCM of Fractions for 3532/315, 5083/860 is 17953156/5.