Find the LCM of 728, 874, 299, 714, 271 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 728, 874, 299, 714, 271. So, keep reading to learn more.
Given numbers are 728,874,299,714,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,874,299,714,271 is 4396957656.
Find LCM of 728,874,299,714,271 with Prime Factorization
2 | 728, 874, 299, 714, 271 |
7 | 364, 437, 299, 357, 271 |
13 | 52, 437, 299, 51, 271 |
23 | 4, 437, 23, 51, 271 |
4, 19, 1, 51, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 23 x 4 x 19 x 1 x 51 x 271 = 4396957656
Therefore, the lowest common multiple of 728,874,299,714,271 is 4396957656.
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.
728 x 874 x 299 x 714 x 271 = 36811329496032
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
874 : 1, 2, 19, 23, 38, 46, 437, 874
299 : 1, 13, 23, 299
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,874,299,714,271, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
874:2x 19x 23
299:13x 23
714:2x 3x 7x 17
271:271
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 7x 13x 23 = 8372
Therefore, the value for common factors is 8372.
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 = 36811329496032/(1x8372)
LCM = 36811329496032/8372
LCM = 4396957656
Thus, we can understand that the LCM of 728,874,299,714,271 is 4396957656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 874, 299, 714, 271?
Answer: LCM of 728, 874, 299, 714, 271 is 4396957656.
2. How to calculate the LCM of 728, 874, 299, 714, 271?
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 728, 874, 299, 714, 271.
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}.