Least Common Multiple of 4812/621, 6528/3830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4812/621, 6528/3830 quickly i.e. 2617728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4812/621, 6528/3830 is 2617728.

LCM(4812/621, 6528/3830) = 2617728

LCM of 4812/621, 6528/3830

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 4812/621,6528/3830

Given numbers are 4812/621,6528/3830

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 4812,6528

Least Common Multiple of Numerators i.e. LCM of 4812,6528 is 2617728.

GCF of Denominators means GCF of 621,3830 as per the given fractions.

GCF of 621,3830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4812,6528

LCM of Fractions 4812/621,6528/3830 is 2617728

2 4812, 6528
2 2406, 3264
3 1203, 1632
401, 544

∴ So the LCM of the given numbers is 2 x 2 x 3 x 401 x 544 = 2617728

Least Common Multiple of 4812,6528 with GCF Formula

Least Common Multiple of 4812,6528 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 4812,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4812,6528) = 12

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

GCF(4812,6528) x common factors =12 x 1 = 12

LCM(4812,6528) = ( 4812 × 6528 ) / 12

LCM(4812,6528) = 31412736 / 12

LCM(4812,6528) = 2617728


Lets's calculate GCF of 621,3830

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2617728/1

Therefore the LCM of Fractions 4812/621,6528/3830 is 2617728

Greatest Common Factor of 621,3830 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,3830 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1,2,5,10,383,766,1915,3830

Greatest Common Factor

We found the factors 621,3830 . The biggest common factor number is the GCF number.
So the greatest common factor 621,3830 is 1.


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 4812/621, 6528/3830

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 4812/621, 6528/3830?

Answer: LCM of Numerators as per given numbers 4812/621, 6528/3830 is

LCM of Numerators i.e. for 4812,6528 is 2617728

GCF of denominators i.e. for 621,3830 is 1.

Thus, LCM of Fractions is 2617728.Finally, LCM of Fractions for 4812/621, 6528/3830 is 2617728.