LCM of 528, 913, 904, 816, 698
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 913, 904, 816, 698 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 528, 913, 904, 816, 698. So, keep reading to learn more.
Given numbers are 528,913,904,816,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,913,904,816,698 is 29380880496.
Find LCM of 528,913,904,816,698 with Prime Factorization
| 2 | 528, 913, 904, 816, 698 |
| 2 | 264, 913, 452, 408, 349 |
| 2 | 132, 913, 226, 204, 349 |
| 2 | 66, 913, 113, 102, 349 |
| 3 | 33, 913, 113, 51, 349 |
| 11 | 11, 913, 113, 17, 349 |
| 1, 83, 113, 17, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 1 x 83 x 113 x 17 x 349 = 29380880496
Therefore, the lowest common multiple of 528,913,904,816,698 is 29380880496.
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.
528 x 913 x 904 x 816 x 698 = 248209678430208
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
913 : 1, 11, 83, 913
904 : 1, 2, 4, 8, 113, 226, 452, 904
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
698 : 1, 2, 349, 698
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,913,904,816,698, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
913:11x 83
904:2x 2x 2x 113
816:2x 2x 2x 2x 3x 17
698:2x 349
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 2x 2x 3x 11 = 8448
Therefore, the value for common factors is 8448.
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 = 248209678430208/(1x8448)
LCM = 248209678430208/8448
LCM = 29380880496
Thus, we can understand that the LCM of 528,913,904,816,698 is 29380880496.
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FAQs on LCM of 528, 913, 904, 816, 698
1. What is the LCM of 528, 913, 904, 816, 698?
Answer: LCM of 528, 913, 904, 816, 698 is 29380880496.
2. How to calculate the LCM of 528, 913, 904, 816, 698?
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 528, 913, 904, 816, 698.
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}.