Least Common Multiple of 3732/482, 9812/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3732/482, 9812/518 quickly i.e. 4577298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3732/482, 9812/518 is 4577298.

LCM(3732/482, 9812/518) = 4577298

LCM of 3732/482, 9812/518

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 3732/482,9812/518

Given numbers are 3732/482,9812/518

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 3732,9812

Least Common Multiple of Numerators i.e. LCM of 3732,9812 is 9154596.

GCF of Denominators means GCF of 482,518 as per the given fractions.

GCF of 482,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3732,9812

LCM of Fractions 3732/482,9812/518 is 4577298

2 3732, 9812
2 1866, 4906
933, 2453

∴ So the LCM of the given numbers is 2 x 2 x 933 x 2453 = 9154596

Least Common Multiple of 3732,9812 with GCF Formula

Least Common Multiple of 3732,9812 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 3732,9812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3732,9812) = 4

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

GCF(3732,9812) x common factors =4 x 1 = 4

LCM(3732,9812) = ( 3732 × 9812 ) / 4

LCM(3732,9812) = 36618384 / 4

LCM(3732,9812) = 9154596


Lets's calculate GCF of 482,518

2 482, 518
241, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9154596/2

Therefore the LCM of Fractions 3732/482,9812/518 is 4577298

Greatest Common Factor of 482,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,518 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 518

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

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

Greatest Common Factor

We found the factors 482,518 . The biggest common factor number is the GCF number.
So the greatest common factor 482,518 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 3732/482, 9812/518

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 3732/482, 9812/518?

Answer: LCM of Numerators as per given numbers 3732/482, 9812/518 is

LCM of Numerators i.e. for 3732,9812 is 9154596

GCF of denominators i.e. for 482,518 is 2.

Thus, LCM of Fractions is 4577298.Finally, LCM of Fractions for 3732/482, 9812/518 is 4577298.