Least Common Multiple of 3423/515, 2801/2130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3423/515, 2801/2130 quickly i.e. 9587823/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3423/515, 2801/2130 is 9587823/5.

LCM(3423/515, 2801/2130) = 9587823/5

LCM of 3423/515, 2801/2130

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 3423/515,2801/2130

Given numbers are 3423/515,2801/2130

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 3423,2801

Least Common Multiple of Numerators i.e. LCM of 3423,2801 is 9587823.

GCF of Denominators means GCF of 515,2130 as per the given fractions.

GCF of 515,2130 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3423,2801

LCM of Fractions 3423/515,2801/2130 is 9587823/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 9587823

Least Common Multiple of 3423,2801 with GCF Formula

Least Common Multiple of 3423,2801 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 3423,2801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3423,2801) = 1

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

GCF(3423,2801) x common factors =1 x 1 = 1

LCM(3423,2801) = ( 3423 × 2801 ) / 1

LCM(3423,2801) = 9587823 / 1

LCM(3423,2801) = 9587823


Lets's calculate GCF of 515,2130

5 515, 2130
103, 426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9587823/5

Therefore the LCM of Fractions 3423/515,2801/2130 is 9587823/5

Greatest Common Factor of 515,2130 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,2130 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Greatest Common Factor

We found the factors 515,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 515,2130 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 3423/515, 2801/2130

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 3423/515, 2801/2130?

Answer: LCM of Numerators as per given numbers 3423/515, 2801/2130 is

LCM of Numerators i.e. for 3423,2801 is 9587823

GCF of denominators i.e. for 515,2130 is 5.

Thus, LCM of Fractions is 9587823/5.Finally, LCM of Fractions for 3423/515, 2801/2130 is 9587823/5.