LCM of 924, 968, 593, 561, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 968, 593, 561, 427 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 924, 968, 593, 561, 427. So, keep reading to learn more.
Given numbers are 924,968,593,561,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,968,593,561,427 is 12500520648.
Find LCM of 924,968,593,561,427 with Prime Factorization
| 2 | 924, 968, 593, 561, 427 |
| 2 | 462, 484, 593, 561, 427 |
| 3 | 231, 242, 593, 561, 427 |
| 7 | 77, 242, 593, 187, 427 |
| 11 | 11, 242, 593, 187, 61 |
| 1, 22, 593, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 22 x 593 x 17 x 61 = 12500520648
Therefore, the lowest common multiple of 924,968,593,561,427 is 12500520648.
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.
924 x 968 x 593 x 561 x 427 = 127055291866272
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
593 : 1, 593
561 : 1, 3, 11, 17, 33, 51, 187, 561
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,968,593,561,427, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
968:2x 2x 2x 11x 11
593:593
561:3x 11x 17
427:7x 61
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 3x 7x 11x 11 = 10164
Therefore, the value for common factors is 10164.
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 = 127055291866272/(1x10164)
LCM = 127055291866272/10164
LCM = 12500520648
Thus, we can understand that the LCM of 924,968,593,561,427 is 12500520648.
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FAQs on LCM of 924, 968, 593, 561, 427
1. What is the LCM of 924, 968, 593, 561, 427?
Answer: LCM of 924, 968, 593, 561, 427 is 12500520648.
2. How to calculate the LCM of 924, 968, 593, 561, 427?
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 924, 968, 593, 561, 427.
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}.