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LCM of 218, 360, 717, 436

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


Find the LCM of 218, 360, 717, 436 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, 360, 717, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,360,717,436

Given numbers are 218,360,717,436

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

The LCM of 218,360,717,436 is 9378360.

Find LCM of 218,360,717,436 with Prime Factorization


2 218, 360, 717, 436
2 109, 180, 717, 218
3 109, 90, 717, 109
109 109, 30, 239, 109
1, 30, 239, 1

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

2 x 2 x 3 x 109 x 1 x 30 x 239 x 1 = 9378360

Therefore, the lowest common multiple of 218,360,717,436 is 9378360.

LCM Formula to Find Lowest Common Multiple of 218,360,717,436

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 360 x 717 x 436 = 24533789760

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

717 : 1, 3, 239, 717

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,360,717,436, is 1.

Now, the common factors can be found like this.

218:2x 109

360:2x 2x 2x 3x 3x 5

717:3x 239

436:2x 2x 109

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 109 = 2616

Therefore, the value for common factors is 2616.

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 = 24533789760/(1x2616)

LCM = 24533789760/2616

LCM = 9378360

Thus, we can understand that the LCM of 218,360,717,436 is 9378360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 360, 717, 436

1. What is the LCM of 218, 360, 717, 436?

Answer: LCM of 218, 360, 717, 436 is 9378360.

2. How to calculate the LCM of 218, 360, 717, 436?

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, 360, 717, 436.

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}.