LCM of 859, 396, 242, 268, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 396, 242, 268, 464 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, 396, 242, 268, 464. So, keep reading to learn more.
Given numbers are 859,396,242,268,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,396,242,268,464 is 29081300688.
Find LCM of 859,396,242,268,464 with Prime Factorization
| 2 | 859, 396, 242, 268, 464 |
| 2 | 859, 198, 121, 134, 232 |
| 11 | 859, 99, 121, 67, 116 |
| 859, 9, 11, 67, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 859 x 9 x 11 x 67 x 116 = 29081300688
Therefore, the lowest common multiple of 859,396,242,268,464 is 29081300688.
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 396 x 242 x 268 x 464 = 10236617842176
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
242 : 1, 2, 11, 22, 121, 242
268 : 1, 2, 4, 67, 134, 268
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,396,242,268,464, is 1.
Now, the common factors can be found like this.
859:859
396:2x 2x 3x 3x 11
242:2x 11x 11
268:2x 2x 67
464:2x 2x 2x 2x 29
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 11 = 352
Therefore, the value for common factors is 352.
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 = 10236617842176/(1x352)
LCM = 10236617842176/352
LCM = 29081300688
Thus, we can understand that the LCM of 859,396,242,268,464 is 29081300688.
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FAQs on LCM of 859, 396, 242, 268, 464
1. What is the LCM of 859, 396, 242, 268, 464?
Answer: LCM of 859, 396, 242, 268, 464 is 29081300688.
2. How to calculate the LCM of 859, 396, 242, 268, 464?
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, 396, 242, 268, 464.
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}.