LCM of 708, 799, 144, 899, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 799, 144, 899, 517 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 708, 799, 144, 899, 517. So, keep reading to learn more.
Given numbers are 708,799,144,899,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,799,144,899,517 is 67129538256.
Find LCM of 708,799,144,899,517 with Prime Factorization
| 2 | 708, 799, 144, 899, 517 |
| 2 | 354, 799, 72, 899, 517 |
| 3 | 177, 799, 36, 899, 517 |
| 47 | 59, 799, 12, 899, 517 |
| 59, 17, 12, 899, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 59 x 17 x 12 x 899 x 11 = 67129538256
Therefore, the lowest common multiple of 708,799,144,899,517 is 67129538256.
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.
708 x 799 x 144 x 899 x 517 = 37861059576384
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
799 : 1, 17, 47, 799
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
899 : 1, 29, 31, 899
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,799,144,899,517, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
799:17x 47
144:2x 2x 2x 2x 3x 3
899:29x 31
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 47 = 564
Therefore, the value for common factors is 564.
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 = 37861059576384/(1x564)
LCM = 37861059576384/564
LCM = 67129538256
Thus, we can understand that the LCM of 708,799,144,899,517 is 67129538256.
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FAQs on LCM of 708, 799, 144, 899, 517
1. What is the LCM of 708, 799, 144, 899, 517?
Answer: LCM of 708, 799, 144, 899, 517 is 67129538256.
2. How to calculate the LCM of 708, 799, 144, 899, 517?
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 708, 799, 144, 899, 517.
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}.