LCM of 468, 417, 714, 884, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 417, 714, 884, 499 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, 417, 714, 884, 499. So, keep reading to learn more.
Given numbers are 468,417,714,884,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,417,714,884,499 is 3862852812.
Find LCM of 468,417,714,884,499 with Prime Factorization
| 2 | 468, 417, 714, 884, 499 |
| 2 | 234, 417, 357, 442, 499 |
| 3 | 117, 417, 357, 221, 499 |
| 13 | 39, 139, 119, 221, 499 |
| 17 | 3, 139, 119, 17, 499 |
| 3, 139, 7, 1, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 3 x 139 x 7 x 1 x 499 = 3862852812
Therefore, the lowest common multiple of 468,417,714,884,499 is 3862852812.
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 417 x 714 x 884 x 499 = 61465713944544
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
417 : 1, 3, 139, 417
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,417,714,884,499, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
417:3x 139
714:2x 3x 7x 17
884:2x 2x 13x 17
499:499
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 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 61465713944544/(1x15912)
LCM = 61465713944544/15912
LCM = 3862852812
Thus, we can understand that the LCM of 468,417,714,884,499 is 3862852812.
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FAQs on LCM of 468, 417, 714, 884, 499
1. What is the LCM of 468, 417, 714, 884, 499?
Answer: LCM of 468, 417, 714, 884, 499 is 3862852812.
2. How to calculate the LCM of 468, 417, 714, 884, 499?
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, 417, 714, 884, 499.
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}.