Least Common Multiple of 7310/413, 8840/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7310/413, 8840/993 quickly i.e. 380120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7310/413, 8840/993 is 380120.

LCM(7310/413, 8840/993) = 380120

LCM of 7310/413, 8840/993

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 7310/413,8840/993

Given numbers are 7310/413,8840/993

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 7310,8840

Least Common Multiple of Numerators i.e. LCM of 7310,8840 is 380120.

GCF of Denominators means GCF of 413,993 as per the given fractions.

GCF of 413,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7310,8840

LCM of Fractions 7310/413,8840/993 is 380120

2 7310, 8840
5 3655, 4420
17 731, 884
43, 52

∴ So the LCM of the given numbers is 2 x 5 x 17 x 43 x 52 = 380120

Least Common Multiple of 7310,8840 with GCF Formula

Least Common Multiple of 7310,8840 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 7310,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7310,8840) = 170

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

GCF(7310,8840) x common factors =170 x 1 = 170

LCM(7310,8840) = ( 7310 × 8840 ) / 170

LCM(7310,8840) = 64620400 / 170

LCM(7310,8840) = 380120


Lets's calculate GCF of 413,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380120/1

Therefore the LCM of Fractions 7310/413,8840/993 is 380120

Greatest Common Factor of 413,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,993 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 413,993 . The biggest common factor number is the GCF number.
So the greatest common factor 413,993 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 7310/413, 8840/993

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 7310/413, 8840/993?

Answer: LCM of Numerators as per given numbers 7310/413, 8840/993 is

LCM of Numerators i.e. for 7310,8840 is 380120

GCF of denominators i.e. for 413,993 is 1.

Thus, LCM of Fractions is 380120.Finally, LCM of Fractions for 7310/413, 8840/993 is 380120.