LCM of 636, 453, 729, 620, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 453, 729, 620, 530 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 636, 453, 729, 620, 530. So, keep reading to learn more.
Given numbers are 636,453,729,620,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,453,729,620,530 is 3617195940.
Find LCM of 636,453,729,620,530 with Prime Factorization
| 2 | 636, 453, 729, 620, 530 |
| 2 | 318, 453, 729, 310, 265 |
| 3 | 159, 453, 729, 155, 265 |
| 5 | 53, 151, 243, 155, 265 |
| 53 | 53, 151, 243, 31, 53 |
| 1, 151, 243, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 53 x 1 x 151 x 243 x 31 x 1 = 3617195940
Therefore, the lowest common multiple of 636,453,729,620,530 is 3617195940.
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.
636 x 453 x 729 x 620 x 530 = 69016098535200
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
453 : 1, 3, 151, 453
729 : 1, 3, 9, 27, 81, 243, 729
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,453,729,620,530, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
453:3x 151
729:3x 3x 3x 3x 3x 3
620:2x 2x 5x 31
530:2x 5x 53
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 3x 3x 5x 53 = 19080
Therefore, the value for common factors is 19080.
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 = 69016098535200/(1x19080)
LCM = 69016098535200/19080
LCM = 3617195940
Thus, we can understand that the LCM of 636,453,729,620,530 is 3617195940.
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FAQs on LCM of 636, 453, 729, 620, 530
1. What is the LCM of 636, 453, 729, 620, 530?
Answer: LCM of 636, 453, 729, 620, 530 is 3617195940.
2. How to calculate the LCM of 636, 453, 729, 620, 530?
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 636, 453, 729, 620, 530.
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}.