LCM of 928, 967, 336, 914, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 967, 336, 914, 802 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 928, 967, 336, 914, 802. So, keep reading to learn more.
Given numbers are 928,967,336,914,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,967,336,914,802 is 3453459106272.
Find LCM of 928,967,336,914,802 with Prime Factorization
| 2 | 928, 967, 336, 914, 802 |
| 2 | 464, 967, 168, 457, 401 |
| 2 | 232, 967, 84, 457, 401 |
| 2 | 116, 967, 42, 457, 401 |
| 58, 967, 21, 457, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 58 x 967 x 21 x 457 x 401 = 3453459106272
Therefore, the lowest common multiple of 928,967,336,914,802 is 3453459106272.
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.
928 x 967 x 336 x 914 x 802 = 221021382801408
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
967 : 1, 967
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
914 : 1, 2, 457, 914
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,967,336,914,802, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
967:967
336:2x 2x 2x 2x 3x 7
914:2x 457
802:2x 401
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 2 = 64
Therefore, the value for common factors is 64.
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 = 221021382801408/(1x64)
LCM = 221021382801408/64
LCM = 3453459106272
Thus, we can understand that the LCM of 928,967,336,914,802 is 3453459106272.
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FAQs on LCM of 928, 967, 336, 914, 802
1. What is the LCM of 928, 967, 336, 914, 802?
Answer: LCM of 928, 967, 336, 914, 802 is 3453459106272.
2. How to calculate the LCM of 928, 967, 336, 914, 802?
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 928, 967, 336, 914, 802.
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}.