Find the LCM of 707, 611, 909, 962, 556 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, 611, 909, 962, 556. So, keep reading to learn more.
Given numbers are 707,611,909,962,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,611,909,962,556 is 79979677596.
Find LCM of 707,611,909,962,556 with Prime Factorization
2 | 707, 611, 909, 962, 556 |
13 | 707, 611, 909, 481, 278 |
101 | 707, 47, 909, 37, 278 |
7, 47, 9, 37, 278 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 101 x 7 x 47 x 9 x 37 x 278 = 79979677596
Therefore, the lowest common multiple of 707,611,909,962,556 is 79979677596.
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 611 x 909 x 962 x 556 = 210026633367096
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
611 : 1, 13, 47, 611
909 : 1, 3, 9, 101, 303, 909
962 : 1, 2, 13, 26, 37, 74, 481, 962
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,611,909,962,556, is 1.
Now, the common factors can be found like this.
707:7x 101
611:13x 47
909:3x 3x 101
962:2x 13x 37
556:2x 2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 101 = 2626
Therefore, the value for common factors is 2626.
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 = 210026633367096/(1x2626)
LCM = 210026633367096/2626
LCM = 79979677596
Thus, we can understand that the LCM of 707,611,909,962,556 is 79979677596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 611, 909, 962, 556?
Answer: LCM of 707, 611, 909, 962, 556 is 79979677596.
2. How to calculate the LCM of 707, 611, 909, 962, 556?
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, 611, 909, 962, 556.
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}.