Least Common Multiple of 413/759, 9863/7498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/759, 9863/7498 quickly i.e. 581917/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/759, 9863/7498 is 581917/23.

LCM(413/759, 9863/7498) = 581917/23

LCM of 413/759, 9863/7498

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 413/759,9863/7498

Given numbers are 413/759,9863/7498

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 413,9863

Least Common Multiple of Numerators i.e. LCM of 413,9863 is 581917.

GCF of Denominators means GCF of 759,7498 as per the given fractions.

GCF of 759,7498 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,9863

LCM of Fractions 413/759,9863/7498 is 581917/23

7 413, 9863
59, 1409

∴ So the LCM of the given numbers is 7 x 59 x 1409 = 581917

Least Common Multiple of 413,9863 with GCF Formula

Least Common Multiple of 413,9863 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 413,9863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,9863) = 7

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

GCF(413,9863) x common factors =7 x 1 = 7

LCM(413,9863) = ( 413 × 9863 ) / 7

LCM(413,9863) = 4073419 / 7

LCM(413,9863) = 581917


Lets's calculate GCF of 759,7498

23 759, 7498
33, 326

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581917/23

Therefore the LCM of Fractions 413/759,9863/7498 is 581917/23

Greatest Common Factor of 759,7498 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,7498 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1,2,23,46,163,326,3749,7498

Greatest Common Factor

We found the factors 759,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 759,7498 is 23.


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 413/759, 9863/7498

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 413/759, 9863/7498?

Answer: LCM of Numerators as per given numbers 413/759, 9863/7498 is

LCM of Numerators i.e. for 413,9863 is 581917

GCF of denominators i.e. for 759,7498 is 23.

Thus, LCM of Fractions is 581917/23.Finally, LCM of Fractions for 413/759, 9863/7498 is 581917/23.