LCM of 768, 408, 714, 884, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 408, 714, 884, 495 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 768, 408, 714, 884, 495. So, keep reading to learn more.
Given numbers are 768,408,714,884,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,408,714,884,495 is 196035840.
Find LCM of 768,408,714,884,495 with Prime Factorization
| 2 | 768, 408, 714, 884, 495 |
| 2 | 384, 204, 357, 442, 495 |
| 2 | 192, 102, 357, 221, 495 |
| 3 | 96, 51, 357, 221, 495 |
| 17 | 32, 17, 119, 221, 165 |
| 32, 1, 7, 13, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 32 x 1 x 7 x 13 x 165 = 196035840
Therefore, the lowest common multiple of 768,408,714,884,495 is 196035840.
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.
768 x 408 x 714 x 884 x 495 = 97898730209280
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,408,714,884,495, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
408:2x 2x 2x 3x 17
714:2x 3x 7x 17
884:2x 2x 13x 17
495:3x 3x 5x 11
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 2x 2x 2x 3x 3x 3x 17x 17 = 499392
Therefore, the value for common factors is 499392.
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 = 97898730209280/(1x499392)
LCM = 97898730209280/499392
LCM = 196035840
Thus, we can understand that the LCM of 768,408,714,884,495 is 196035840.
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FAQs on LCM of 768, 408, 714, 884, 495
1. What is the LCM of 768, 408, 714, 884, 495?
Answer: LCM of 768, 408, 714, 884, 495 is 196035840.
2. How to calculate the LCM of 768, 408, 714, 884, 495?
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 768, 408, 714, 884, 495.
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}.