Least Common Multiple of 8312/798, 4909/6574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8312/798, 4909/6574 quickly i.e. 40803608/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8312/798, 4909/6574 is 40803608/38.

LCM(8312/798, 4909/6574) = 40803608/38

LCM of 8312/798, 4909/6574

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 8312/798,4909/6574

Given numbers are 8312/798,4909/6574

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 8312,4909

Least Common Multiple of Numerators i.e. LCM of 8312,4909 is 40803608.

GCF of Denominators means GCF of 798,6574 as per the given fractions.

GCF of 798,6574 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8312,4909

LCM of Fractions 8312/798,4909/6574 is 40803608/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 40803608

Least Common Multiple of 8312,4909 with GCF Formula

Least Common Multiple of 8312,4909 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 8312,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8312,4909) = 1

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

GCF(8312,4909) x common factors =1 x 1 = 1

LCM(8312,4909) = ( 8312 × 4909 ) / 1

LCM(8312,4909) = 40803608 / 1

LCM(8312,4909) = 40803608


Lets's calculate GCF of 798,6574

2 798, 6574
19 399, 3287
21, 173

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40803608/38

Therefore the LCM of Fractions 8312/798,4909/6574 is 40803608/38

Greatest Common Factor of 798,6574 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,6574 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1,2,19,38,173,346,3287,6574

Greatest Common Factor

We found the factors 798,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 798,6574 is 38.


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 8312/798, 4909/6574

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 8312/798, 4909/6574?

Answer: LCM of Numerators as per given numbers 8312/798, 4909/6574 is

LCM of Numerators i.e. for 8312,4909 is 40803608

GCF of denominators i.e. for 798,6574 is 38.

Thus, LCM of Fractions is 40803608/38.Finally, LCM of Fractions for 8312/798, 4909/6574 is 40803608/38.