LCM of 417, 339, 924, 506, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 339, 924, 506, 380 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 417, 339, 924, 506, 380. So, keep reading to learn more.
Given numbers are 417,339,924,506,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,339,924,506,380 is 31711490580.
Find LCM of 417,339,924,506,380 with Prime Factorization
| 2 | 417, 339, 924, 506, 380 |
| 2 | 417, 339, 462, 253, 190 |
| 3 | 417, 339, 231, 253, 95 |
| 11 | 139, 113, 77, 253, 95 |
| 139, 113, 7, 23, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 139 x 113 x 7 x 23 x 95 = 31711490580
Therefore, the lowest common multiple of 417,339,924,506,380 is 31711490580.
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.
417 x 339 x 924 x 506 x 380 = 25115500539360
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.
417 : 1, 3, 139, 417
339 : 1, 3, 113, 339
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
506 : 1, 2, 11, 22, 23, 46, 253, 506
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,339,924,506,380, is 1.
Now, the common factors can be found like this.
417:3x 139
339:3x 113
924:2x 2x 3x 7x 11
506:2x 11x 23
380:2x 2x 5x 19
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 11 = 792
Therefore, the value for common factors is 792.
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 = 25115500539360/(1x792)
LCM = 25115500539360/792
LCM = 31711490580
Thus, we can understand that the LCM of 417,339,924,506,380 is 31711490580.
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FAQs on LCM of 417, 339, 924, 506, 380
1. What is the LCM of 417, 339, 924, 506, 380?
Answer: LCM of 417, 339, 924, 506, 380 is 31711490580.
2. How to calculate the LCM of 417, 339, 924, 506, 380?
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 417, 339, 924, 506, 380.
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}.