LCM of 633, 979, 851, 792, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 979, 851, 792, 639 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 633, 979, 851, 792, 639. So, keep reading to learn more.
Given numbers are 633,979,851,792,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,979,851,792,639 is 898639599528.
Find LCM of 633,979,851,792,639 with Prime Factorization
| 3 | 633, 979, 851, 792, 639 |
| 3 | 211, 979, 851, 264, 213 |
| 11 | 211, 979, 851, 88, 71 |
| 211, 89, 851, 8, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 211 x 89 x 851 x 8 x 71 = 898639599528
Therefore, the lowest common multiple of 633,979,851,792,639 is 898639599528.
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.
633 x 979 x 851 x 792 x 639 = 266895961059816
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.
633 : 1, 3, 211, 633
979 : 1, 11, 89, 979
851 : 1, 23, 37, 851
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,979,851,792,639, is 1.
Now, the common factors can be found like this.
633:3x 211
979:11x 89
851:23x 37
792:2x 2x 2x 3x 3x 11
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11 = 297
Therefore, the value for common factors is 297.
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 = 266895961059816/(1x297)
LCM = 266895961059816/297
LCM = 898639599528
Thus, we can understand that the LCM of 633,979,851,792,639 is 898639599528.
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FAQs on LCM of 633, 979, 851, 792, 639
1. What is the LCM of 633, 979, 851, 792, 639?
Answer: LCM of 633, 979, 851, 792, 639 is 898639599528.
2. How to calculate the LCM of 633, 979, 851, 792, 639?
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 633, 979, 851, 792, 639.
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}.