LCM of 765, 208, 867, 579, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 208, 867, 579, 633 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 765, 208, 867, 579, 633. So, keep reading to learn more.
Given numbers are 765,208,867,579,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,208,867,579,633 is 110157343920.
Find LCM of 765,208,867,579,633 with Prime Factorization
| 3 | 765, 208, 867, 579, 633 |
| 17 | 255, 208, 289, 193, 211 |
| 15, 208, 17, 193, 211 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 15 x 208 x 17 x 193 x 211 = 110157343920
Therefore, the lowest common multiple of 765,208,867,579,633 is 110157343920.
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.
765 x 208 x 867 x 579 x 633 = 50562220859280
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
867 : 1, 3, 17, 51, 289, 867
579 : 1, 3, 193, 579
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,208,867,579,633, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
208:2x 2x 2x 2x 13
867:3x 17x 17
579:3x 193
633:3x 211
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 17 = 459
Therefore, the value for common factors is 459.
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 = 50562220859280/(1x459)
LCM = 50562220859280/459
LCM = 110157343920
Thus, we can understand that the LCM of 765,208,867,579,633 is 110157343920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 208, 867, 579, 633
1. What is the LCM of 765, 208, 867, 579, 633?
Answer: LCM of 765, 208, 867, 579, 633 is 110157343920.
2. How to calculate the LCM of 765, 208, 867, 579, 633?
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 765, 208, 867, 579, 633.
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}.