LCM of 865, 300, 506, 484, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 300, 506, 484, 115 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 865, 300, 506, 484, 115. So, keep reading to learn more.
Given numbers are 865,300,506,484,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,300,506,484,115 is 144437700.
Find LCM of 865,300,506,484,115 with Prime Factorization
| 2 | 865, 300, 506, 484, 115 |
| 2 | 865, 150, 253, 242, 115 |
| 5 | 865, 75, 253, 121, 115 |
| 11 | 173, 15, 253, 121, 23 |
| 23 | 173, 15, 23, 11, 23 |
| 173, 15, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 173 x 15 x 1 x 11 x 1 = 144437700
Therefore, the lowest common multiple of 865,300,506,484,115 is 144437700.
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.
865 x 300 x 506 x 484 x 115 = 7308547620000
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.
865 : 1, 5, 173, 865
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
506 : 1, 2, 11, 22, 23, 46, 253, 506
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,300,506,484,115, is 1.
Now, the common factors can be found like this.
865:5x 173
300:2x 2x 3x 5x 5
506:2x 11x 23
484:2x 2x 11x 11
115:5x 23
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 5x 5x 11x 23 = 50600
Therefore, the value for common factors is 50600.
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 = 7308547620000/(1x50600)
LCM = 7308547620000/50600
LCM = 144437700
Thus, we can understand that the LCM of 865,300,506,484,115 is 144437700.
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FAQs on LCM of 865, 300, 506, 484, 115
1. What is the LCM of 865, 300, 506, 484, 115?
Answer: LCM of 865, 300, 506, 484, 115 is 144437700.
2. How to calculate the LCM of 865, 300, 506, 484, 115?
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 865, 300, 506, 484, 115.
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}.