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LCM of 160, 351, 507, 765, 921

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


Find the LCM of 160, 351, 507, 765, 921 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 160, 351, 507, 765, 921. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 160,351,507,765,921

Given numbers are 160,351,507,765,921

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

The LCM of 160,351,507,765,921 is 3810287520.

Find LCM of 160,351,507,765,921 with Prime Factorization


3 160, 351, 507, 765, 921
3 160, 117, 169, 255, 307
5 160, 39, 169, 85, 307
13 32, 39, 169, 17, 307
32, 3, 13, 17, 307

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

3 x 3 x 5 x 13 x 32 x 3 x 13 x 17 x 307 = 3810287520

Therefore, the lowest common multiple of 160,351,507,765,921 is 3810287520.

LCM Formula to Find Lowest Common Multiple of 160,351,507,765,921

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.

160 x 351 x 507 x 765 x 921 = 20061163792800

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.

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

351 : 1, 3, 9, 13, 27, 39, 117, 351

507 : 1, 3, 13, 39, 169, 507

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,351,507,765,921, is 1.

Now, the common factors can be found like this.

160:2x 2x 2x 2x 2x 5

351:3x 3x 3x 13

507:3x 13x 13

765:3x 3x 5x 17

921:3x 307

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

3x 3x 3x 3x 5x 13 = 5265

Therefore, the value for common factors is 5265.

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 = 20061163792800/(1x5265)

LCM = 20061163792800/5265

LCM = 3810287520

Thus, we can understand that the LCM of 160,351,507,765,921 is 3810287520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 160, 351, 507, 765, 921

1. What is the LCM of 160, 351, 507, 765, 921?

Answer: LCM of 160, 351, 507, 765, 921 is 3810287520.

2. How to calculate the LCM of 160, 351, 507, 765, 921?

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 160, 351, 507, 765, 921.

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}.