LCM of 646, 432, 991, 627, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 432, 991, 627, 636 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 646, 432, 991, 627, 636. So, keep reading to learn more.
Given numbers are 646,432,991,627,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,432,991,627,636 is 80617342608.
Find LCM of 646,432,991,627,636 with Prime Factorization
| 2 | 646, 432, 991, 627, 636 |
| 2 | 323, 216, 991, 627, 318 |
| 3 | 323, 108, 991, 627, 159 |
| 19 | 323, 36, 991, 209, 53 |
| 17, 36, 991, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 17 x 36 x 991 x 11 x 53 = 80617342608
Therefore, the lowest common multiple of 646,432,991,627,636 is 80617342608.
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.
646 x 432 x 991 x 627 x 636 = 110284524687744
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
991 : 1, 991
627 : 1, 3, 11, 19, 33, 57, 209, 627
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,432,991,627,636, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
432:2x 2x 2x 2x 3x 3x 3
991:991
627:3x 11x 19
636:2x 2x 3x 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 19 = 1368
Therefore, the value for common factors is 1368.
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 = 110284524687744/(1x1368)
LCM = 110284524687744/1368
LCM = 80617342608
Thus, we can understand that the LCM of 646,432,991,627,636 is 80617342608.
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FAQs on LCM of 646, 432, 991, 627, 636
1. What is the LCM of 646, 432, 991, 627, 636?
Answer: LCM of 646, 432, 991, 627, 636 is 80617342608.
2. How to calculate the LCM of 646, 432, 991, 627, 636?
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 646, 432, 991, 627, 636.
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}.