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LCM of 901, 511, 576, 645, 230

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


Find the LCM of 901, 511, 576, 645, 230 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 901, 511, 576, 645, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,511,576,645,230

Given numbers are 901,511,576,645,230

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

The LCM of 901,511,576,645,230 is 1311397859520.

Find LCM of 901,511,576,645,230 with Prime Factorization


2 901, 511, 576, 645, 230
3 901, 511, 288, 645, 115
5 901, 511, 96, 215, 115
901, 511, 96, 43, 23

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

2 x 3 x 5 x 901 x 511 x 96 x 43 x 23 = 1311397859520

Therefore, the lowest common multiple of 901,511,576,645,230 is 1311397859520.

LCM Formula to Find Lowest Common Multiple of 901,511,576,645,230

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.

901 x 511 x 576 x 645 x 230 = 39341935785600

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.

901 : 1, 17, 53, 901

511 : 1, 7, 73, 511

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

645 : 1, 3, 5, 15, 43, 129, 215, 645

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,511,576,645,230, is 1.

Now, the common factors can be found like this.

901:17x 53

511:7x 73

576:2x 2x 2x 2x 2x 2x 3x 3

645:3x 5x 43

230:2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 39341935785600/(1x30)

LCM = 39341935785600/30

LCM = 1311397859520

Thus, we can understand that the LCM of 901,511,576,645,230 is 1311397859520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 511, 576, 645, 230

1. What is the LCM of 901, 511, 576, 645, 230?

Answer: LCM of 901, 511, 576, 645, 230 is 1311397859520.

2. How to calculate the LCM of 901, 511, 576, 645, 230?

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 901, 511, 576, 645, 230.

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}.