Find the LCM of 484, 717, 424, 959, 336 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 484, 717, 424, 959, 336. So, keep reading to learn more.
Given numbers are 484,717,424,959,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,717,424,959,336 is 70553568624.
Find LCM of 484,717,424,959,336 with Prime Factorization
2 | 484, 717, 424, 959, 336 |
2 | 242, 717, 212, 959, 168 |
2 | 121, 717, 106, 959, 84 |
3 | 121, 717, 53, 959, 42 |
7 | 121, 239, 53, 959, 14 |
121, 239, 53, 137, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 121 x 239 x 53 x 137 x 2 = 70553568624
Therefore, the lowest common multiple of 484,717,424,959,336 is 70553568624.
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.
484 x 717 x 424 x 959 x 336 = 47411998115328
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
717 : 1, 3, 239, 717
424 : 1, 2, 4, 8, 53, 106, 212, 424
959 : 1, 7, 137, 959
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,717,424,959,336, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
717:3x 239
424:2x 2x 2x 53
959:7x 137
336:2x 2x 2x 2x 3x 7
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 7 = 672
Therefore, the value for common factors is 672.
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 = 47411998115328/(1x672)
LCM = 47411998115328/672
LCM = 70553568624
Thus, we can understand that the LCM of 484,717,424,959,336 is 70553568624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 717, 424, 959, 336?
Answer: LCM of 484, 717, 424, 959, 336 is 70553568624.
2. How to calculate the LCM of 484, 717, 424, 959, 336?
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 484, 717, 424, 959, 336.
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}.