LCM of 365, 463, 506, 584, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 463, 506, 584, 968 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 365, 463, 506, 584, 968. So, keep reading to learn more.
Given numbers are 365,463,506,584,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,463,506,584,968 is 3762504680.
Find LCM of 365,463,506,584,968 with Prime Factorization
| 2 | 365, 463, 506, 584, 968 |
| 2 | 365, 463, 253, 292, 484 |
| 2 | 365, 463, 253, 146, 242 |
| 11 | 365, 463, 253, 73, 121 |
| 73 | 365, 463, 23, 73, 11 |
| 5, 463, 23, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 73 x 5 x 463 x 23 x 1 x 11 = 3762504680
Therefore, the lowest common multiple of 365,463,506,584,968 is 3762504680.
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.
365 x 463 x 506 x 584 x 968 = 48340660128640
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.
365 : 1, 5, 73, 365
463 : 1, 463
506 : 1, 2, 11, 22, 23, 46, 253, 506
584 : 1, 2, 4, 8, 73, 146, 292, 584
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,463,506,584,968, is 1.
Now, the common factors can be found like this.
365:5x 73
463:463
506:2x 11x 23
584:2x 2x 2x 73
968:2x 2x 2x 11x 11
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 11x 73 = 12848
Therefore, the value for common factors is 12848.
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 = 48340660128640/(1x12848)
LCM = 48340660128640/12848
LCM = 3762504680
Thus, we can understand that the LCM of 365,463,506,584,968 is 3762504680.
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FAQs on LCM of 365, 463, 506, 584, 968
1. What is the LCM of 365, 463, 506, 584, 968?
Answer: LCM of 365, 463, 506, 584, 968 is 3762504680.
2. How to calculate the LCM of 365, 463, 506, 584, 968?
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 365, 463, 506, 584, 968.
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}.