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LCM of 218, 444, 520, 507

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


Find the LCM of 218, 444, 520, 507 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, 444, 520, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,444,520,507

Given numbers are 218,444,520,507

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

The LCM of 218,444,520,507 is 81789240.

Find LCM of 218,444,520,507 with Prime Factorization


2 218, 444, 520, 507
2 109, 222, 260, 507
3 109, 111, 130, 507
13 109, 37, 130, 169
109, 37, 10, 13

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

2 x 2 x 3 x 13 x 109 x 37 x 10 x 13 = 81789240

Therefore, the lowest common multiple of 218,444,520,507 is 81789240.

LCM Formula to Find Lowest Common Multiple of 218,444,520,507

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 444 x 520 x 507 = 25518242880

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,444,520,507, is 1.

Now, the common factors can be found like this.

218:2x 109

444:2x 2x 3x 37

520:2x 2x 2x 5x 13

507:3x 13x 13

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

2x 2x 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 25518242880/(1x312)

LCM = 25518242880/312

LCM = 81789240

Thus, we can understand that the LCM of 218,444,520,507 is 81789240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 444, 520, 507

1. What is the LCM of 218, 444, 520, 507?

Answer: LCM of 218, 444, 520, 507 is 81789240.

2. How to calculate the LCM of 218, 444, 520, 507?

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, 444, 520, 507.

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}.