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LCM of 220, 284, 723, 424

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


Find the LCM of 220, 284, 723, 424 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, 284, 723, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,284,723,424

Given numbers are 220,284,723,424

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

The LCM of 220,284,723,424 is 1197085560.

Find LCM of 220,284,723,424 with Prime Factorization


2 220, 284, 723, 424
2 110, 142, 723, 212
55, 71, 723, 106

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

2 x 2 x 55 x 71 x 723 x 106 = 1197085560

Therefore, the lowest common multiple of 220,284,723,424 is 1197085560.

LCM Formula to Find Lowest Common Multiple of 220,284,723,424

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 284 x 723 x 424 = 19153368960

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

284 : 1, 2, 4, 71, 142, 284

723 : 1, 3, 241, 723

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,284,723,424, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

284:2x 2x 71

723:3x 241

424:2x 2x 2x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 19153368960/(1x16)

LCM = 19153368960/16

LCM = 1197085560

Thus, we can understand that the LCM of 220,284,723,424 is 1197085560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 284, 723, 424

1. What is the LCM of 220, 284, 723, 424?

Answer: LCM of 220, 284, 723, 424 is 1197085560.

2. How to calculate the LCM of 220, 284, 723, 424?

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, 284, 723, 424.

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}.