LCM of 442, 417, 342, 748, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 417, 342, 748, 774 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, 417, 342, 748, 774. So, keep reading to learn more.
Given numbers are 442,417,342,748,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,417,342,748,774 is 9938579508.
Find LCM of 442,417,342,748,774 with Prime Factorization
| 2 | 442, 417, 342, 748, 774 |
| 3 | 221, 417, 171, 374, 387 |
| 3 | 221, 139, 57, 374, 129 |
| 17 | 221, 139, 19, 374, 43 |
| 13, 139, 19, 22, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 13 x 139 x 19 x 22 x 43 = 9938579508
Therefore, the lowest common multiple of 442,417,342,748,774 is 9938579508.
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 417 x 342 x 748 x 774 = 36494463953376
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
417 : 1, 3, 139, 417
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,417,342,748,774, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
417:3x 139
342:2x 3x 3x 19
748:2x 2x 11x 17
774:2x 3x 3x 43
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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 36494463953376/(1x3672)
LCM = 36494463953376/3672
LCM = 9938579508
Thus, we can understand that the LCM of 442,417,342,748,774 is 9938579508.
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FAQs on LCM of 442, 417, 342, 748, 774
1. What is the LCM of 442, 417, 342, 748, 774?
Answer: LCM of 442, 417, 342, 748, 774 is 9938579508.
2. How to calculate the LCM of 442, 417, 342, 748, 774?
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, 417, 342, 748, 774.
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}.