LCM of 813, 390, 663, 354, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 390, 663, 354, 767 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 813, 390, 663, 354, 767. So, keep reading to learn more.
Given numbers are 813,390,663,354,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,390,663,354,767 is 106007070.
Find LCM of 813,390,663,354,767 with Prime Factorization
| 2 | 813, 390, 663, 354, 767 |
| 3 | 813, 195, 663, 177, 767 |
| 13 | 271, 65, 221, 59, 767 |
| 59 | 271, 5, 17, 59, 59 |
| 271, 5, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 59 x 271 x 5 x 17 x 1 x 1 = 106007070
Therefore, the lowest common multiple of 813,390,663,354,767 is 106007070.
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.
813 x 390 x 663 x 354 x 767 = 57077810728380
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.
813 : 1, 3, 271, 813
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
663 : 1, 3, 13, 17, 39, 51, 221, 663
354 : 1, 2, 3, 6, 59, 118, 177, 354
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,390,663,354,767, is 1.
Now, the common factors can be found like this.
813:3x 271
390:2x 3x 5x 13
663:3x 13x 17
354:2x 3x 59
767:13x 59
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 13x 13x 59 = 538434
Therefore, the value for common factors is 538434.
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 = 57077810728380/(1x538434)
LCM = 57077810728380/538434
LCM = 106007070
Thus, we can understand that the LCM of 813,390,663,354,767 is 106007070.
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FAQs on LCM of 813, 390, 663, 354, 767
1. What is the LCM of 813, 390, 663, 354, 767?
Answer: LCM of 813, 390, 663, 354, 767 is 106007070.
2. How to calculate the LCM of 813, 390, 663, 354, 767?
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 813, 390, 663, 354, 767.
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}.