LCM of 894, 708, 729, 767, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 708, 729, 767, 816 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 894, 708, 729, 767, 816. So, keep reading to learn more.
Given numbers are 894,708,729,767,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,708,729,767,816 is 22660947504.
Find LCM of 894,708,729,767,816 with Prime Factorization
| 2 | 894, 708, 729, 767, 816 |
| 2 | 447, 354, 729, 767, 408 |
| 3 | 447, 177, 729, 767, 204 |
| 59 | 149, 59, 243, 767, 68 |
| 149, 1, 243, 13, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 149 x 1 x 243 x 13 x 68 = 22660947504
Therefore, the lowest common multiple of 894,708,729,767,816 is 22660947504.
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.
894 x 708 x 729 x 767 x 816 = 288791114990976
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
729 : 1, 3, 9, 27, 81, 243, 729
767 : 1, 13, 59, 767
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,708,729,767,816, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
708:2x 2x 3x 59
729:3x 3x 3x 3x 3x 3
767:13x 59
816:2x 2x 2x 2x 3x 17
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 3x 3x 3x 59 = 12744
Therefore, the value for common factors is 12744.
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 = 288791114990976/(1x12744)
LCM = 288791114990976/12744
LCM = 22660947504
Thus, we can understand that the LCM of 894,708,729,767,816 is 22660947504.
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FAQs on LCM of 894, 708, 729, 767, 816
1. What is the LCM of 894, 708, 729, 767, 816?
Answer: LCM of 894, 708, 729, 767, 816 is 22660947504.
2. How to calculate the LCM of 894, 708, 729, 767, 816?
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 894, 708, 729, 767, 816.
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}.