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LCM of 220, 200, 348, 780, 686

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


Find the LCM of 220, 200, 348, 780, 686 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 220, 200, 348, 780, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,200,348,780,686

Given numbers are 220,200,348,780,686

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

The LCM of 220,200,348,780,686 is 853452600.

Find LCM of 220,200,348,780,686 with Prime Factorization


2 220, 200, 348, 780, 686
2 110, 100, 174, 390, 343
3 55, 50, 87, 195, 343
5 55, 50, 29, 65, 343
11, 10, 29, 13, 343

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

2 x 2 x 3 x 5 x 11 x 10 x 29 x 13 x 343 = 853452600

Therefore, the lowest common multiple of 220,200,348,780,686 is 853452600.

LCM Formula to Find Lowest Common Multiple of 220,200,348,780,686

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.

220 x 200 x 348 x 780 x 686 = 8193144960000

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,200,348,780,686, is 2.

Now, the common factors can be found like this.

220:2x 2x 5x 11

200:2x 2x 2x 5x 5

348:2x 2x 3x 29

780:2x 2x 3x 5x 13

686:2x 7x 7x 7

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 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 8193144960000/(2x4800)

LCM = 8193144960000/9600

LCM = 853452600

Thus, we can understand that the LCM of 220,200,348,780,686 is 853452600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 200, 348, 780, 686

1. What is the LCM of 220, 200, 348, 780, 686?

Answer: LCM of 220, 200, 348, 780, 686 is 853452600.

2. How to calculate the LCM of 220, 200, 348, 780, 686?

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 220, 200, 348, 780, 686.

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}.