LCM of 646, 636, 896, 501, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 636, 896, 501, 713 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, 636, 896, 501, 713. So, keep reading to learn more.
Given numbers are 646,636,896,501,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,636,896,501,713 is 5479155894912.
Find LCM of 646,636,896,501,713 with Prime Factorization
| 2 | 646, 636, 896, 501, 713 |
| 2 | 323, 318, 448, 501, 713 |
| 3 | 323, 159, 224, 501, 713 |
| 323, 53, 224, 167, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 323 x 53 x 224 x 167 x 713 = 5479155894912
Therefore, the lowest common multiple of 646,636,896,501,713 is 5479155894912.
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 636 x 896 x 501 x 713 = 131499741477888
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
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
501 : 1, 3, 167, 501
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,636,896,501,713, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
636:2x 2x 3x 53
896:2x 2x 2x 2x 2x 2x 2x 7
501:3x 167
713:23x 31
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 3 = 24
Therefore, the value for common factors is 24.
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 = 131499741477888/(1x24)
LCM = 131499741477888/24
LCM = 5479155894912
Thus, we can understand that the LCM of 646,636,896,501,713 is 5479155894912.
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FAQs on LCM of 646, 636, 896, 501, 713
1. What is the LCM of 646, 636, 896, 501, 713?
Answer: LCM of 646, 636, 896, 501, 713 is 5479155894912.
2. How to calculate the LCM of 646, 636, 896, 501, 713?
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, 636, 896, 501, 713.
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}.