LCM of 632, 214, 868, 518, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 214, 868, 518, 897 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 632, 214, 868, 518, 897. So, keep reading to learn more.
Given numbers are 632,214,868,518,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,214,868,518,897 is 487028927112.
Find LCM of 632,214,868,518,897 with Prime Factorization
| 2 | 632, 214, 868, 518, 897 |
| 2 | 316, 107, 434, 259, 897 |
| 7 | 158, 107, 217, 259, 897 |
| 158, 107, 31, 37, 897 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 158 x 107 x 31 x 37 x 897 = 487028927112
Therefore, the lowest common multiple of 632,214,868,518,897 is 487028927112.
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.
632 x 214 x 868 x 518 x 897 = 54547239836544
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
214 : 1, 2, 107, 214
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
518 : 1, 2, 7, 14, 37, 74, 259, 518
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,214,868,518,897, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
214:2x 107
868:2x 2x 7x 31
518:2x 7x 37
897:3x 13x 23
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 7 = 112
Therefore, the value for common factors is 112.
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 = 54547239836544/(1x112)
LCM = 54547239836544/112
LCM = 487028927112
Thus, we can understand that the LCM of 632,214,868,518,897 is 487028927112.
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FAQs on LCM of 632, 214, 868, 518, 897
1. What is the LCM of 632, 214, 868, 518, 897?
Answer: LCM of 632, 214, 868, 518, 897 is 487028927112.
2. How to calculate the LCM of 632, 214, 868, 518, 897?
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 632, 214, 868, 518, 897.
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}.