LCM of 561, 139, 636, 464, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 139, 636, 464, 493 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 561, 139, 636, 464, 493. So, keep reading to learn more.
Given numbers are 561,139,636,464,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,139,636,464,493 is 1917659568.
Find LCM of 561,139,636,464,493 with Prime Factorization
| 2 | 561, 139, 636, 464, 493 |
| 2 | 561, 139, 318, 232, 493 |
| 3 | 561, 139, 159, 116, 493 |
| 17 | 187, 139, 53, 116, 493 |
| 29 | 11, 139, 53, 116, 29 |
| 11, 139, 53, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 29 x 11 x 139 x 53 x 4 x 1 = 1917659568
Therefore, the lowest common multiple of 561,139,636,464,493 is 1917659568.
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.
561 x 139 x 636 x 464 x 493 = 11344874004288
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
139 : 1, 139
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,139,636,464,493, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
139:139
636:2x 2x 3x 53
464:2x 2x 2x 2x 29
493:17x 29
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 17x 29 = 5916
Therefore, the value for common factors is 5916.
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 = 11344874004288/(1x5916)
LCM = 11344874004288/5916
LCM = 1917659568
Thus, we can understand that the LCM of 561,139,636,464,493 is 1917659568.
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FAQs on LCM of 561, 139, 636, 464, 493
1. What is the LCM of 561, 139, 636, 464, 493?
Answer: LCM of 561, 139, 636, 464, 493 is 1917659568.
2. How to calculate the LCM of 561, 139, 636, 464, 493?
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 561, 139, 636, 464, 493.
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}.