Least Common Multiple of 414/484, 3620/3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/484, 3620/3084 quickly i.e. 187335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/484, 3620/3084 is 187335.

LCM(414/484, 3620/3084) = 187335

LCM of 414/484, 3620/3084

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 414/484,3620/3084

Given numbers are 414/484,3620/3084

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 414,3620

Least Common Multiple of Numerators i.e. LCM of 414,3620 is 749340.

GCF of Denominators means GCF of 484,3084 as per the given fractions.

GCF of 484,3084 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,3620

LCM of Fractions 414/484,3620/3084 is 187335

2 414, 3620
207, 1810

∴ So the LCM of the given numbers is 2 x 207 x 1810 = 749340

Least Common Multiple of 414,3620 with GCF Formula

Least Common Multiple of 414,3620 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 414,3620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,3620) = 2

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

GCF(414,3620) x common factors =2 x 1 = 2

LCM(414,3620) = ( 414 × 3620 ) / 2

LCM(414,3620) = 1498680 / 2

LCM(414,3620) = 749340


Lets's calculate GCF of 484,3084

2 484, 3084
2 242, 1542
121, 771

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749340/4

Therefore the LCM of Fractions 414/484,3620/3084 is 187335

Greatest Common Factor of 484,3084 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,3084 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Greatest Common Factor

We found the factors 484,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 484,3084 is 4.


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 414/484, 3620/3084

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 414/484, 3620/3084?

Answer: LCM of Numerators as per given numbers 414/484, 3620/3084 is

LCM of Numerators i.e. for 414,3620 is 749340

GCF of denominators i.e. for 484,3084 is 4.

Thus, LCM of Fractions is 187335.Finally, LCM of Fractions for 414/484, 3620/3084 is 187335.