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LCM of 218, 684, 436, 380

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


Find the LCM of 218, 684, 436, 380 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, 684, 436, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,684,436,380

Given numbers are 218,684,436,380

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

The LCM of 218,684,436,380 is 372780.

Find LCM of 218,684,436,380 with Prime Factorization


2 218, 684, 436, 380
2 109, 342, 218, 190
19 109, 171, 109, 95
109 109, 9, 109, 5
1, 9, 1, 5

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

2 x 2 x 19 x 109 x 1 x 9 x 1 x 5 = 372780

Therefore, the lowest common multiple of 218,684,436,380 is 372780.

LCM Formula to Find Lowest Common Multiple of 218,684,436,380

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 684 x 436 x 380 = 24704876160

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,684,436,380, is 2.

Now, the common factors can be found like this.

218:2x 109

684:2x 2x 3x 3x 19

436:2x 2x 109

380:2x 2x 5x 19

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 2x 19x 109 = 33136

Therefore, the value for common factors is 33136.

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 = 24704876160/(2x33136)

LCM = 24704876160/66272

LCM = 372780

Thus, we can understand that the LCM of 218,684,436,380 is 372780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 684, 436, 380

1. What is the LCM of 218, 684, 436, 380?

Answer: LCM of 218, 684, 436, 380 is 372780.

2. How to calculate the LCM of 218, 684, 436, 380?

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, 684, 436, 380.

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}.