Find the LCM of 952, 449, 529, 459, 714 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 952, 449, 529, 459, 714. So, keep reading to learn more.
Given numbers are 952,449,529,459,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,449,529,459,714 is 6105239784.
Find LCM of 952,449,529,459,714 with Prime Factorization
2 | 952, 449, 529, 459, 714 |
3 | 476, 449, 529, 459, 357 |
7 | 476, 449, 529, 153, 119 |
17 | 68, 449, 529, 153, 17 |
4, 449, 529, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 4 x 449 x 529 x 9 x 1 = 6105239784
Therefore, the lowest common multiple of 952,449,529,459,714 is 6105239784.
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.
952 x 449 x 529 x 459 x 714 = 74105400498192
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
449 : 1, 449
529 : 1, 23, 529
459 : 1, 3, 9, 17, 27, 51, 153, 459
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,449,529,459,714, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
449:449
529:23x 23
459:3x 3x 3x 17
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17x 17 = 12138
Therefore, the value for common factors is 12138.
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 = 74105400498192/(1x12138)
LCM = 74105400498192/12138
LCM = 6105239784
Thus, we can understand that the LCM of 952,449,529,459,714 is 6105239784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 449, 529, 459, 714?
Answer: LCM of 952, 449, 529, 459, 714 is 6105239784.
2. How to calculate the LCM of 952, 449, 529, 459, 714?
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 952, 449, 529, 459, 714.
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}.