Least Common Multiple of 4227/642, 3460/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4227/642, 3460/216 quickly i.e. 2437570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4227/642, 3460/216 is 2437570.

LCM(4227/642, 3460/216) = 2437570

LCM of 4227/642, 3460/216

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 4227/642,3460/216

Given numbers are 4227/642,3460/216

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 4227,3460

Least Common Multiple of Numerators i.e. LCM of 4227,3460 is 14625420.

GCF of Denominators means GCF of 642,216 as per the given fractions.

GCF of 642,216 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4227,3460

LCM of Fractions 4227/642,3460/216 is 2437570

Given numbers has no common factors except 1. So, there LCM is their product i.e 14625420

Least Common Multiple of 4227,3460 with GCF Formula

Least Common Multiple of 4227,3460 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 4227,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4227,3460) = 1

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

GCF(4227,3460) x common factors =1 x 1 = 1

LCM(4227,3460) = ( 4227 × 3460 ) / 1

LCM(4227,3460) = 14625420 / 1

LCM(4227,3460) = 14625420


Lets's calculate GCF of 642,216

2 642, 216
3 321, 108
107, 36

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14625420/6

Therefore the LCM of Fractions 4227/642,3460/216 is 2437570

Greatest Common Factor of 642,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,216 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 642,216 . The biggest common factor number is the GCF number.
So the greatest common factor 642,216 is 6.


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 4227/642, 3460/216

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 4227/642, 3460/216?

Answer: LCM of Numerators as per given numbers 4227/642, 3460/216 is

LCM of Numerators i.e. for 4227,3460 is 14625420

GCF of denominators i.e. for 642,216 is 6.

Thus, LCM of Fractions is 2437570.Finally, LCM of Fractions for 4227/642, 3460/216 is 2437570.