LCM of 896, 995, 495, 647, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 995, 495, 647, 759 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 896, 995, 495, 647, 759. So, keep reading to learn more.
Given numbers are 896,995,495,647,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,995,495,647,759 is 1313404202880.
Find LCM of 896,995,495,647,759 with Prime Factorization
| 3 | 896, 995, 495, 647, 759 |
| 5 | 896, 995, 165, 647, 253 |
| 11 | 896, 199, 33, 647, 253 |
| 896, 199, 3, 647, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 896 x 199 x 3 x 647 x 23 = 1313404202880
Therefore, the lowest common multiple of 896,995,495,647,759 is 1313404202880.
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.
896 x 995 x 495 x 647 x 759 = 216711693475200
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
995 : 1, 5, 199, 995
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
647 : 1, 647
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,995,495,647,759, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
995:5x 199
495:3x 3x 5x 11
647:647
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 216711693475200/(1x165)
LCM = 216711693475200/165
LCM = 1313404202880
Thus, we can understand that the LCM of 896,995,495,647,759 is 1313404202880.
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FAQs on LCM of 896, 995, 495, 647, 759
1. What is the LCM of 896, 995, 495, 647, 759?
Answer: LCM of 896, 995, 495, 647, 759 is 1313404202880.
2. How to calculate the LCM of 896, 995, 495, 647, 759?
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 896, 995, 495, 647, 759.
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}.