LCM of 796, 802, 432, 753, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 802, 432, 753, 515 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 796, 802, 432, 753, 515. So, keep reading to learn more.
Given numbers are 796,802,432,753,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,802,432,753,515 is 4456174061520.
Find LCM of 796,802,432,753,515 with Prime Factorization
| 2 | 796, 802, 432, 753, 515 |
| 2 | 398, 401, 216, 753, 515 |
| 3 | 199, 401, 108, 753, 515 |
| 199, 401, 36, 251, 515 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 199 x 401 x 36 x 251 x 515 = 4456174061520
Therefore, the lowest common multiple of 796,802,432,753,515 is 4456174061520.
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.
796 x 802 x 432 x 753 x 515 = 106948177476480
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.
796 : 1, 2, 4, 199, 398, 796
802 : 1, 2, 401, 802
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
753 : 1, 3, 251, 753
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,802,432,753,515, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
802:2x 401
432:2x 2x 2x 2x 3x 3x 3
753:3x 251
515:5x 103
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 3 = 24
Therefore, the value for common factors is 24.
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 = 106948177476480/(1x24)
LCM = 106948177476480/24
LCM = 4456174061520
Thus, we can understand that the LCM of 796,802,432,753,515 is 4456174061520.
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FAQs on LCM of 796, 802, 432, 753, 515
1. What is the LCM of 796, 802, 432, 753, 515?
Answer: LCM of 796, 802, 432, 753, 515 is 4456174061520.
2. How to calculate the LCM of 796, 802, 432, 753, 515?
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 796, 802, 432, 753, 515.
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}.