Find the LCM of 565, 710, 860, 702, 410 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 565, 710, 860, 702, 410. So, keep reading to learn more.
Given numbers are 565,710,860,702,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,710,860,702,410 is 99294733980.
Find LCM of 565,710,860,702,410 with Prime Factorization
2 | 565, 710, 860, 702, 410 |
5 | 565, 355, 430, 351, 205 |
113, 71, 86, 351, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 113 x 71 x 86 x 351 x 41 = 99294733980
Therefore, the lowest common multiple of 565,710,860,702,410 is 99294733980.
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.
565 x 710 x 860 x 702 x 410 = 99294733980000
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.
565 : 1, 5, 113, 565
710 : 1, 2, 5, 10, 71, 142, 355, 710
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,710,860,702,410, is 1.
Now, the common factors can be found like this.
565:5x 113
710:2x 5x 71
860:2x 2x 5x 43
702:2x 3x 3x 3x 13
410:2x 5x 41
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 5x 5x 5 = 1000
Therefore, the value for common factors is 1000.
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 = 99294733980000/(1x1000)
LCM = 99294733980000/1000
LCM = 99294733980
Thus, we can understand that the LCM of 565,710,860,702,410 is 99294733980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 710, 860, 702, 410?
Answer: LCM of 565, 710, 860, 702, 410 is 99294733980.
2. How to calculate the LCM of 565, 710, 860, 702, 410?
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 565, 710, 860, 702, 410.
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}.