Find the LCM of 707, 481, 312, 565 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 707, 481, 312, 565. So, keep reading to learn more.
Given numbers are 707,481,312,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,481,312,565 is 4611308520.
Find LCM of 707,481,312,565 with Prime Factorization
13 | 707, 481, 312, 565 |
707, 37, 24, 565 |
Multiply the prime numbers at the bottom and the left side.
13 x 707 x 37 x 24 x 565 = 4611308520
Therefore, the lowest common multiple of 707,481,312,565 is 4611308520.
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.
707 x 481 x 312 x 565 = 59947010760
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.
707 : 1, 7, 101, 707
481 : 1, 13, 37, 481
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,481,312,565, is 1.
Now, the common factors can be found like this.
707:7x 101
481:13x 37
312:2x 2x 2x 3x 13
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 59947010760/(1x13)
LCM = 59947010760/13
LCM = 4611308520
Thus, we can understand that the LCM of 707,481,312,565 is 4611308520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 481, 312, 565?
Answer: LCM of 707, 481, 312, 565 is 4611308520.
2. How to calculate the LCM of 707, 481, 312, 565?
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 707, 481, 312, 565.
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}.