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LCM of 220, 509, 458, 428

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


Find the LCM of 220, 509, 458, 428 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, 509, 458, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,509,458,428

Given numbers are 220,509,458,428

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

The LCM of 220,509,458,428 is 2743845940.

Find LCM of 220,509,458,428 with Prime Factorization


2 220, 509, 458, 428
2 110, 509, 229, 214
55, 509, 229, 107

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

2 x 2 x 55 x 509 x 229 x 107 = 2743845940

Therefore, the lowest common multiple of 220,509,458,428 is 2743845940.

LCM Formula to Find Lowest Common Multiple of 220,509,458,428

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 509 x 458 x 428 = 21950767520

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

509 : 1, 509

458 : 1, 2, 229, 458

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,509,458,428, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

509:509

458:2x 229

428:2x 2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 21950767520/(1x8)

LCM = 21950767520/8

LCM = 2743845940

Thus, we can understand that the LCM of 220,509,458,428 is 2743845940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 509, 458, 428

1. What is the LCM of 220, 509, 458, 428?

Answer: LCM of 220, 509, 458, 428 is 2743845940.

2. How to calculate the LCM of 220, 509, 458, 428?

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, 509, 458, 428.

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}.