LCM of 207, 115, 803, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 115, 803, 535 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 207, 115, 803, 535. So, keep reading to learn more.
Given numbers are 207,115,803,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,115,803,535 is 88928235.
Find LCM of 207,115,803,535 with Prime Factorization
| 5 | 207, 115, 803, 535 |
| 23 | 207, 23, 803, 107 |
| 9, 1, 803, 107 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 9 x 1 x 803 x 107 = 88928235
Therefore, the lowest common multiple of 207,115,803,535 is 88928235.
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.
207 x 115 x 803 x 535 = 10226747025
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.
207 : 1, 3, 9, 23, 69, 207
115 : 1, 5, 23, 115
803 : 1, 11, 73, 803
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,115,803,535, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
115:5x 23
803:11x 73
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 10226747025/(1x115)
LCM = 10226747025/115
LCM = 88928235
Thus, we can understand that the LCM of 207,115,803,535 is 88928235.
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FAQs on LCM of 207, 115, 803, 535
1. What is the LCM of 207, 115, 803, 535?
Answer: LCM of 207, 115, 803, 535 is 88928235.
2. How to calculate the LCM of 207, 115, 803, 535?
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 207, 115, 803, 535.
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}.