Find the LCM of 565, 958, 700, 453, 616 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, 958, 700, 453, 616. So, keep reading to learn more.
Given numbers are 565,958,700,453,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,958,700,453,616 is 377600777400.
Find LCM of 565,958,700,453,616 with Prime Factorization
2 | 565, 958, 700, 453, 616 |
2 | 565, 479, 350, 453, 308 |
5 | 565, 479, 175, 453, 154 |
7 | 113, 479, 35, 453, 154 |
113, 479, 5, 453, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 113 x 479 x 5 x 453 x 22 = 377600777400
Therefore, the lowest common multiple of 565,958,700,453,616 is 377600777400.
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 958 x 700 x 453 x 616 = 105728217672000
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
958 : 1, 2, 479, 958
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
453 : 1, 3, 151, 453
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,958,700,453,616, is 1.
Now, the common factors can be found like this.
565:5x 113
958:2x 479
700:2x 2x 5x 5x 7
453:3x 151
616:2x 2x 2x 7x 11
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 7 = 280
Therefore, the value for common factors is 280.
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 = 105728217672000/(1x280)
LCM = 105728217672000/280
LCM = 377600777400
Thus, we can understand that the LCM of 565,958,700,453,616 is 377600777400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 958, 700, 453, 616?
Answer: LCM of 565, 958, 700, 453, 616 is 377600777400.
2. How to calculate the LCM of 565, 958, 700, 453, 616?
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, 958, 700, 453, 616.
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}.