Least Common Multiple of 4228/84, 6213/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4228/84, 6213/336 quickly i.e. 312721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4228/84, 6213/336 is 312721.

LCM(4228/84, 6213/336) = 312721

LCM of 4228/84, 6213/336

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 4228/84,6213/336

Given numbers are 4228/84,6213/336

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 4228,6213

Least Common Multiple of Numerators i.e. LCM of 4228,6213 is 26268564.

GCF of Denominators means GCF of 84,336 as per the given fractions.

GCF of 84,336 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4228,6213

LCM of Fractions 4228/84,6213/336 is 312721

Given numbers has no common factors except 1. So, there LCM is their product i.e 26268564

Least Common Multiple of 4228,6213 with GCF Formula

Least Common Multiple of 4228,6213 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 4228,6213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4228,6213) = 1

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

GCF(4228,6213) x common factors =1 x 1 = 1

LCM(4228,6213) = ( 4228 × 6213 ) / 1

LCM(4228,6213) = 26268564 / 1

LCM(4228,6213) = 26268564


Lets's calculate GCF of 84,336

2 84, 336
2 42, 168
3 21, 84
7 7, 28
1, 4

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26268564/84

Therefore the LCM of Fractions 4228/84,6213/336 is 312721

Greatest Common Factor of 84,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,336 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 84,336 . The biggest common factor number is the GCF number.
So the greatest common factor 84,336 is 84.


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 4228/84, 6213/336

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 4228/84, 6213/336?

Answer: LCM of Numerators as per given numbers 4228/84, 6213/336 is

LCM of Numerators i.e. for 4228,6213 is 26268564

GCF of denominators i.e. for 84,336 is 84.

Thus, LCM of Fractions is 312721.Finally, LCM of Fractions for 4228/84, 6213/336 is 312721.