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LCM of 152, 193, 629, 551, 791

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


Find the LCM of 152, 193, 629, 551, 791 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 152, 193, 629, 551, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,193,629,551,791

Given numbers are 152,193,629,551,791

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

The LCM of 152,193,629,551,791 is 423278319016.

Find LCM of 152,193,629,551,791 with Prime Factorization


19 152, 193, 629, 551, 791
8, 193, 629, 29, 791

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

19 x 8 x 193 x 629 x 29 x 791 = 423278319016

Therefore, the lowest common multiple of 152,193,629,551,791 is 423278319016.

LCM Formula to Find Lowest Common Multiple of 152,193,629,551,791

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.

152 x 193 x 629 x 551 x 791 = 8042288061304

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

193 : 1, 193

629 : 1, 17, 37, 629

551 : 1, 19, 29, 551

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,193,629,551,791, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

193:193

629:17x 37

551:19x 29

791:7x 113

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

19 = 19

Therefore, the value for common factors is 19.

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 = 8042288061304/(1x19)

LCM = 8042288061304/19

LCM = 423278319016

Thus, we can understand that the LCM of 152,193,629,551,791 is 423278319016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 193, 629, 551, 791

1. What is the LCM of 152, 193, 629, 551, 791?

Answer: LCM of 152, 193, 629, 551, 791 is 423278319016.

2. How to calculate the LCM of 152, 193, 629, 551, 791?

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 152, 193, 629, 551, 791.

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}.