LCM of 799, 532, 380, 987, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 532, 380, 987, 910 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 799, 532, 380, 987, 910. So, keep reading to learn more.
Given numbers are 799,532,380,987,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,532,380,987,910 is 82888260.
Find LCM of 799,532,380,987,910 with Prime Factorization
| 2 | 799, 532, 380, 987, 910 |
| 2 | 799, 266, 190, 987, 455 |
| 5 | 799, 133, 95, 987, 455 |
| 7 | 799, 133, 19, 987, 91 |
| 19 | 799, 19, 19, 141, 13 |
| 47 | 799, 1, 1, 141, 13 |
| 17, 1, 1, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 19 x 47 x 17 x 1 x 1 x 3 x 13 = 82888260
Therefore, the lowest common multiple of 799,532,380,987,910 is 82888260.
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.
799 x 532 x 380 x 987 x 910 = 145077663712800
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.
799 : 1, 17, 47, 799
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
987 : 1, 3, 7, 21, 47, 141, 329, 987
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,532,380,987,910, is 1.
Now, the common factors can be found like this.
799:17x 47
532:2x 2x 7x 19
380:2x 2x 5x 19
987:3x 7x 47
910:2x 5x 7x 13
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 2x 5x 7x 7x 19x 47 = 1750280
Therefore, the value for common factors is 1750280.
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 = 145077663712800/(1x1750280)
LCM = 145077663712800/1750280
LCM = 82888260
Thus, we can understand that the LCM of 799,532,380,987,910 is 82888260.
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FAQs on LCM of 799, 532, 380, 987, 910
1. What is the LCM of 799, 532, 380, 987, 910?
Answer: LCM of 799, 532, 380, 987, 910 is 82888260.
2. How to calculate the LCM of 799, 532, 380, 987, 910?
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 799, 532, 380, 987, 910.
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}.