LCM of 442, 867, 847, 136, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 867, 847, 136, 455 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 442, 867, 847, 136, 455. So, keep reading to learn more.
Given numbers are 442,867,847,136,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,867,847,136,455 is 381861480.
Find LCM of 442,867,847,136,455 with Prime Factorization
| 2 | 442, 867, 847, 136, 455 |
| 7 | 221, 867, 847, 68, 455 |
| 13 | 221, 867, 121, 68, 65 |
| 17 | 17, 867, 121, 68, 5 |
| 1, 51, 121, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 17 x 1 x 51 x 121 x 4 x 5 = 381861480
Therefore, the lowest common multiple of 442,867,847,136,455 is 381861480.
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.
442 x 867 x 847 x 136 x 455 = 20085150125040
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
867 : 1, 3, 17, 51, 289, 867
847 : 1, 7, 11, 77, 121, 847
136 : 1, 2, 4, 8, 17, 34, 68, 136
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,867,847,136,455, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
867:3x 17x 17
847:7x 11x 11
136:2x 2x 2x 17
455:5x 7x 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 7x 13x 17x 17 = 52598
Therefore, the value for common factors is 52598.
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 = 20085150125040/(1x52598)
LCM = 20085150125040/52598
LCM = 381861480
Thus, we can understand that the LCM of 442,867,847,136,455 is 381861480.
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FAQs on LCM of 442, 867, 847, 136, 455
1. What is the LCM of 442, 867, 847, 136, 455?
Answer: LCM of 442, 867, 847, 136, 455 is 381861480.
2. How to calculate the LCM of 442, 867, 847, 136, 455?
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 442, 867, 847, 136, 455.
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}.