LCM of 859, 208, 299, 850, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 208, 299, 850, 468 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 859, 208, 299, 850, 468. So, keep reading to learn more.
Given numbers are 859,208,299,850,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,208,299,850,468 is 15718669200.
Find LCM of 859,208,299,850,468 with Prime Factorization
| 2 | 859, 208, 299, 850, 468 |
| 2 | 859, 104, 299, 425, 234 |
| 13 | 859, 52, 299, 425, 117 |
| 859, 4, 23, 425, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 859 x 4 x 23 x 425 x 9 = 15718669200
Therefore, the lowest common multiple of 859,208,299,850,468 is 15718669200.
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.
859 x 208 x 299 x 850 x 468 = 21251640758400
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.
859 : 1, 859
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
299 : 1, 13, 23, 299
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,208,299,850,468, is 1.
Now, the common factors can be found like this.
859:859
208:2x 2x 2x 2x 13
299:13x 23
850:2x 5x 5x 17
468:2x 2x 3x 3x 13
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 21251640758400/(1x1352)
LCM = 21251640758400/1352
LCM = 15718669200
Thus, we can understand that the LCM of 859,208,299,850,468 is 15718669200.
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FAQs on LCM of 859, 208, 299, 850, 468
1. What is the LCM of 859, 208, 299, 850, 468?
Answer: LCM of 859, 208, 299, 850, 468 is 15718669200.
2. How to calculate the LCM of 859, 208, 299, 850, 468?
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 859, 208, 299, 850, 468.
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}.