LCM of 790, 765, 363, 550, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 765, 363, 550, 207 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 790, 765, 363, 550, 207. So, keep reading to learn more.
Given numbers are 790,765,363,550,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,765,363,550,207 is 1681906050.
Find LCM of 790,765,363,550,207 with Prime Factorization
| 2 | 790, 765, 363, 550, 207 |
| 3 | 395, 765, 363, 275, 207 |
| 3 | 395, 255, 121, 275, 69 |
| 5 | 395, 85, 121, 275, 23 |
| 11 | 79, 17, 121, 55, 23 |
| 79, 17, 11, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 79 x 17 x 11 x 5 x 23 = 1681906050
Therefore, the lowest common multiple of 790,765,363,550,207 is 1681906050.
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.
790 x 765 x 363 x 550 x 207 = 24976304842500
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
363 : 1, 3, 11, 33, 121, 363
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,765,363,550,207, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
765:3x 3x 5x 17
363:3x 11x 11
550:2x 5x 5x 11
207:3x 3x 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 3x 3x 5x 5x 11 = 14850
Therefore, the value for common factors is 14850.
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 = 24976304842500/(1x14850)
LCM = 24976304842500/14850
LCM = 1681906050
Thus, we can understand that the LCM of 790,765,363,550,207 is 1681906050.
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FAQs on LCM of 790, 765, 363, 550, 207
1. What is the LCM of 790, 765, 363, 550, 207?
Answer: LCM of 790, 765, 363, 550, 207 is 1681906050.
2. How to calculate the LCM of 790, 765, 363, 550, 207?
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 790, 765, 363, 550, 207.
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}.