LCM of 468, 160, 417, 234, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 160, 417, 234, 428 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 468, 160, 417, 234, 428. So, keep reading to learn more.
Given numbers are 468,160,417,234,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,160,417,234,428 is 278422560.
Find LCM of 468,160,417,234,428 with Prime Factorization
| 2 | 468, 160, 417, 234, 428 |
| 2 | 234, 80, 417, 117, 214 |
| 3 | 117, 40, 417, 117, 107 |
| 3 | 39, 40, 139, 39, 107 |
| 13 | 13, 40, 139, 13, 107 |
| 1, 40, 139, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 40 x 139 x 1 x 107 = 278422560
Therefore, the lowest common multiple of 468,160,417,234,428 is 278422560.
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.
468 x 160 x 417 x 234 x 428 = 3127242193920
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
417 : 1, 3, 139, 417
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,160,417,234,428, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
160:2x 2x 2x 2x 2x 5
417:3x 139
234:2x 3x 3x 13
428:2x 2x 107
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 3x 3x 3x 13 = 11232
Therefore, the value for common factors is 11232.
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 = 3127242193920/(1x11232)
LCM = 3127242193920/11232
LCM = 278422560
Thus, we can understand that the LCM of 468,160,417,234,428 is 278422560.
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FAQs on LCM of 468, 160, 417, 234, 428
1. What is the LCM of 468, 160, 417, 234, 428?
Answer: LCM of 468, 160, 417, 234, 428 is 278422560.
2. How to calculate the LCM of 468, 160, 417, 234, 428?
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 468, 160, 417, 234, 428.
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}.