Least Common Multiple of 6503/362, 2312/8004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6503/362, 2312/8004 quickly i.e. 7517468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6503/362, 2312/8004 is 7517468.

LCM(6503/362, 2312/8004) = 7517468

LCM of 6503/362, 2312/8004

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 6503/362,2312/8004

Given numbers are 6503/362,2312/8004

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 6503,2312

Least Common Multiple of Numerators i.e. LCM of 6503,2312 is 15034936.

GCF of Denominators means GCF of 362,8004 as per the given fractions.

GCF of 362,8004 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6503,2312

LCM of Fractions 6503/362,2312/8004 is 7517468

Given numbers has no common factors except 1. So, there LCM is their product i.e 15034936

Least Common Multiple of 6503,2312 with GCF Formula

Least Common Multiple of 6503,2312 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 6503,2312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6503,2312) = 1

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

GCF(6503,2312) x common factors =1 x 1 = 1

LCM(6503,2312) = ( 6503 × 2312 ) / 1

LCM(6503,2312) = 15034936 / 1

LCM(6503,2312) = 15034936


Lets's calculate GCF of 362,8004

2 362, 8004
181, 4002

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15034936/2

Therefore the LCM of Fractions 6503/362,2312/8004 is 7517468

Greatest Common Factor of 362,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,8004 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 362,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 362,8004 is 2.


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 6503/362, 2312/8004

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 6503/362, 2312/8004?

Answer: LCM of Numerators as per given numbers 6503/362, 2312/8004 is

LCM of Numerators i.e. for 6503,2312 is 15034936

GCF of denominators i.e. for 362,8004 is 2.

Thus, LCM of Fractions is 7517468.Finally, LCM of Fractions for 6503/362, 2312/8004 is 7517468.