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LCM of 218, 621, 372

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 218, 621, 372 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 218, 621, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,621,372

Given numbers are 218,621,372

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 218,621,372 is 8393436.

Find LCM of 218,621,372 with Prime Factorization


2 218, 621, 372
3 109, 621, 186
109, 207, 62

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 109 x 207 x 62 = 8393436

Therefore, the lowest common multiple of 218,621,372 is 8393436.

LCM Formula to Find Lowest Common Multiple of 218,621,372

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

218 x 621 x 372 = 50360616

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

218 : 1, 2, 109, 218

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,621,372, is 1.

Now, the common factors can be found like this.

218:2x 109

621:3x 3x 3x 23

372:2x 2x 3x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 50360616/(1x6)

LCM = 50360616/6

LCM = 8393436

Thus, we can understand that the LCM of 218,621,372 is 8393436.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 218, 621, 372

1. What is the LCM of 218, 621, 372?

Answer: LCM of 218, 621, 372 is 8393436.

2. How to calculate the LCM of 218, 621, 372?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 218, 621, 372.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.