Least Common Multiple of 684/22, 3230/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/22, 3230/538 quickly i.e. 29070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/22, 3230/538 is 29070.

LCM(684/22, 3230/538) = 29070

LCM of 684/22, 3230/538

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 684/22,3230/538

Given numbers are 684/22,3230/538

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 684,3230

Least Common Multiple of Numerators i.e. LCM of 684,3230 is 58140.

GCF of Denominators means GCF of 22,538 as per the given fractions.

GCF of 22,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,3230

LCM of Fractions 684/22,3230/538 is 29070

2 684, 3230
19 342, 1615
18, 85

∴ So the LCM of the given numbers is 2 x 19 x 18 x 85 = 58140

Least Common Multiple of 684,3230 with GCF Formula

Least Common Multiple of 684,3230 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 684,3230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,3230) = 38

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

GCF(684,3230) x common factors =38 x 1 = 38

LCM(684,3230) = ( 684 × 3230 ) / 38

LCM(684,3230) = 2209320 / 38

LCM(684,3230) = 58140


Lets's calculate GCF of 22,538

2 22, 538
11, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58140/2

Therefore the LCM of Fractions 684/22,3230/538 is 29070

Greatest Common Factor of 22,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,538 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 22,538 . The biggest common factor number is the GCF number.
So the greatest common factor 22,538 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 684/22, 3230/538

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 684/22, 3230/538?

Answer: LCM of Numerators as per given numbers 684/22, 3230/538 is

LCM of Numerators i.e. for 684,3230 is 58140

GCF of denominators i.e. for 22,538 is 2.

Thus, LCM of Fractions is 29070.Finally, LCM of Fractions for 684/22, 3230/538 is 29070.