LCM of 636, 584, 757, 979, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 584, 757, 979, 712 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, 584, 757, 979, 712. So, keep reading to learn more.
Given numbers are 636,584,757,979,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,584,757,979,712 is 68815860168.
Find LCM of 636,584,757,979,712 with Prime Factorization
| 2 | 636, 584, 757, 979, 712 |
| 2 | 318, 292, 757, 979, 356 |
| 2 | 159, 146, 757, 979, 178 |
| 89 | 159, 73, 757, 979, 89 |
| 159, 73, 757, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 89 x 159 x 73 x 757 x 11 x 1 = 68815860168
Therefore, the lowest common multiple of 636,584,757,979,712 is 68815860168.
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 584 x 757 x 979 x 712 = 195987569758464
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
757 : 1, 757
979 : 1, 11, 89, 979
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,584,757,979,712, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
584:2x 2x 2x 73
757:757
979:11x 89
712:2x 2x 2x 89
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 2x 2x 89 = 2848
Therefore, the value for common factors is 2848.
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 = 195987569758464/(1x2848)
LCM = 195987569758464/2848
LCM = 68815860168
Thus, we can understand that the LCM of 636,584,757,979,712 is 68815860168.
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FAQs on LCM of 636, 584, 757, 979, 712
1. What is the LCM of 636, 584, 757, 979, 712?
Answer: LCM of 636, 584, 757, 979, 712 is 68815860168.
2. How to calculate the LCM of 636, 584, 757, 979, 712?
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, 584, 757, 979, 712.
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}.