LCM of 246, 510, 731, 917, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 510, 731, 917, 365 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 246, 510, 731, 917, 365. So, keep reading to learn more.
Given numbers are 246,510,731,917,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,510,731,917,365 is 60188661330.
Find LCM of 246,510,731,917,365 with Prime Factorization
| 2 | 246, 510, 731, 917, 365 |
| 3 | 123, 255, 731, 917, 365 |
| 5 | 41, 85, 731, 917, 365 |
| 17 | 41, 17, 731, 917, 73 |
| 41, 1, 43, 917, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 41 x 1 x 43 x 917 x 73 = 60188661330
Therefore, the lowest common multiple of 246,510,731,917,365 is 60188661330.
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.
246 x 510 x 731 x 917 x 365 = 30696217278300
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
731 : 1, 17, 43, 731
917 : 1, 7, 131, 917
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,510,731,917,365, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
510:2x 3x 5x 17
731:17x 43
917:7x 131
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 30696217278300/(1x510)
LCM = 30696217278300/510
LCM = 60188661330
Thus, we can understand that the LCM of 246,510,731,917,365 is 60188661330.
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FAQs on LCM of 246, 510, 731, 917, 365
1. What is the LCM of 246, 510, 731, 917, 365?
Answer: LCM of 246, 510, 731, 917, 365 is 60188661330.
2. How to calculate the LCM of 246, 510, 731, 917, 365?
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 246, 510, 731, 917, 365.
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}.