Least Common Multiple of 2602/715, 3992/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2602/715, 3992/462 quickly i.e. 5193592/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2602/715, 3992/462 is 5193592/11.

LCM(2602/715, 3992/462) = 5193592/11

LCM of 2602/715, 3992/462

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 2602/715,3992/462

Given numbers are 2602/715,3992/462

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 2602,3992

Least Common Multiple of Numerators i.e. LCM of 2602,3992 is 5193592.

GCF of Denominators means GCF of 715,462 as per the given fractions.

GCF of 715,462 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2602,3992

LCM of Fractions 2602/715,3992/462 is 5193592/11

2 2602, 3992
1301, 1996

∴ So the LCM of the given numbers is 2 x 1301 x 1996 = 5193592

Least Common Multiple of 2602,3992 with GCF Formula

Least Common Multiple of 2602,3992 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 2602,3992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2602,3992) = 2

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

GCF(2602,3992) x common factors =2 x 1 = 2

LCM(2602,3992) = ( 2602 × 3992 ) / 2

LCM(2602,3992) = 10387184 / 2

LCM(2602,3992) = 5193592


Lets's calculate GCF of 715,462

11 715, 462
65, 42

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5193592/11

Therefore the LCM of Fractions 2602/715,3992/462 is 5193592/11

Greatest Common Factor of 715,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,462 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 715,462 . The biggest common factor number is the GCF number.
So the greatest common factor 715,462 is 11.


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 2602/715, 3992/462

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 2602/715, 3992/462?

Answer: LCM of Numerators as per given numbers 2602/715, 3992/462 is

LCM of Numerators i.e. for 2602,3992 is 5193592

GCF of denominators i.e. for 715,462 is 11.

Thus, LCM of Fractions is 5193592/11.Finally, LCM of Fractions for 2602/715, 3992/462 is 5193592/11.