Least Common Multiple of 3042/518, 2410/8416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3042/518, 2410/8416 quickly i.e. 1832805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3042/518, 2410/8416 is 1832805.

LCM(3042/518, 2410/8416) = 1832805

LCM of 3042/518, 2410/8416

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 3042/518,2410/8416

Given numbers are 3042/518,2410/8416

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 3042,2410

Least Common Multiple of Numerators i.e. LCM of 3042,2410 is 3665610.

GCF of Denominators means GCF of 518,8416 as per the given fractions.

GCF of 518,8416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3042,2410

LCM of Fractions 3042/518,2410/8416 is 1832805

2 3042, 2410
1521, 1205

∴ So the LCM of the given numbers is 2 x 1521 x 1205 = 3665610

Least Common Multiple of 3042,2410 with GCF Formula

Least Common Multiple of 3042,2410 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 3042,2410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3042,2410) = 2

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

GCF(3042,2410) x common factors =2 x 1 = 2

LCM(3042,2410) = ( 3042 × 2410 ) / 2

LCM(3042,2410) = 7331220 / 2

LCM(3042,2410) = 3665610


Lets's calculate GCF of 518,8416

2 518, 8416
259, 4208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3665610/2

Therefore the LCM of Fractions 3042/518,2410/8416 is 1832805

Greatest Common Factor of 518,8416 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,8416 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Greatest Common Factor

We found the factors 518,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 518,8416 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 3042/518, 2410/8416

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 3042/518, 2410/8416?

Answer: LCM of Numerators as per given numbers 3042/518, 2410/8416 is

LCM of Numerators i.e. for 3042,2410 is 3665610

GCF of denominators i.e. for 518,8416 is 2.

Thus, LCM of Fractions is 1832805.Finally, LCM of Fractions for 3042/518, 2410/8416 is 1832805.