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LCM of 220, 496, 403, 190, 200

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


Find the LCM of 220, 496, 403, 190, 200 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, 496, 403, 190, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,496,403,190,200

Given numbers are 220,496,403,190,200

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

The LCM of 220,496,403,190,200 is 33690800.

Find LCM of 220,496,403,190,200 with Prime Factorization


2 220, 496, 403, 190, 200
2 110, 248, 403, 95, 100
2 55, 124, 403, 95, 50
5 55, 62, 403, 95, 25
31 11, 62, 403, 19, 5
11, 2, 13, 19, 5

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

2 x 2 x 2 x 5 x 31 x 11 x 2 x 13 x 19 x 5 = 33690800

Therefore, the lowest common multiple of 220,496,403,190,200 is 33690800.

LCM Formula to Find Lowest Common Multiple of 220,496,403,190,200

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 496 x 403 x 190 x 200 = 1671063680000

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

403 : 1, 13, 31, 403

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,496,403,190,200, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

496:2x 2x 2x 2x 31

403:13x 31

190:2x 5x 19

200:2x 2x 2x 5x 5

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 5x 5x 31 = 49600

Therefore, the value for common factors is 49600.

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 = 1671063680000/(1x49600)

LCM = 1671063680000/49600

LCM = 33690800

Thus, we can understand that the LCM of 220,496,403,190,200 is 33690800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 496, 403, 190, 200

1. What is the LCM of 220, 496, 403, 190, 200?

Answer: LCM of 220, 496, 403, 190, 200 is 33690800.

2. How to calculate the LCM of 220, 496, 403, 190, 200?

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, 496, 403, 190, 200.

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}.