Least Common Multiple of 3864/424, 4500/5116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3864/424, 4500/5116 quickly i.e. 362250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3864/424, 4500/5116 is 362250.

LCM(3864/424, 4500/5116) = 362250

LCM of 3864/424, 4500/5116

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 3864/424,4500/5116

Given numbers are 3864/424,4500/5116

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 3864,4500

Least Common Multiple of Numerators i.e. LCM of 3864,4500 is 1449000.

GCF of Denominators means GCF of 424,5116 as per the given fractions.

GCF of 424,5116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3864,4500

LCM of Fractions 3864/424,4500/5116 is 362250

2 3864, 4500
2 1932, 2250
3 966, 1125
322, 375

∴ So the LCM of the given numbers is 2 x 2 x 3 x 322 x 375 = 1449000

Least Common Multiple of 3864,4500 with GCF Formula

Least Common Multiple of 3864,4500 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 3864,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3864,4500) = 12

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

GCF(3864,4500) x common factors =12 x 1 = 12

LCM(3864,4500) = ( 3864 × 4500 ) / 12

LCM(3864,4500) = 17388000 / 12

LCM(3864,4500) = 1449000


Lets's calculate GCF of 424,5116

2 424, 5116
2 212, 2558
106, 1279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1449000/4

Therefore the LCM of Fractions 3864/424,4500/5116 is 362250

Greatest Common Factor of 424,5116 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,5116 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

Greatest Common Factor

We found the factors 424,5116 . The biggest common factor number is the GCF number.
So the greatest common factor 424,5116 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 3864/424, 4500/5116

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 3864/424, 4500/5116?

Answer: LCM of Numerators as per given numbers 3864/424, 4500/5116 is

LCM of Numerators i.e. for 3864,4500 is 1449000

GCF of denominators i.e. for 424,5116 is 4.

Thus, LCM of Fractions is 362250.Finally, LCM of Fractions for 3864/424, 4500/5116 is 362250.