Find the LCM of 637, 216, 588, 981, 691 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 637, 216, 588, 981, 691. So, keep reading to learn more.
Given numbers are 637,216,588,981,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,216,588,981,691 is 10363291848.
Find LCM of 637,216,588,981,691 with Prime Factorization
2 | 637, 216, 588, 981, 691 |
2 | 637, 108, 294, 981, 691 |
3 | 637, 54, 147, 981, 691 |
3 | 637, 18, 49, 327, 691 |
7 | 637, 6, 49, 109, 691 |
7 | 91, 6, 7, 109, 691 |
13, 6, 1, 109, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 7 x 13 x 6 x 1 x 109 x 691 = 10363291848
Therefore, the lowest common multiple of 637,216,588,981,691 is 10363291848.
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.
637 x 216 x 588 x 981 x 691 = 54842540459616
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.
637 : 1, 7, 13, 49, 91, 637
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
981 : 1, 3, 9, 109, 327, 981
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,216,588,981,691, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
216:2x 2x 2x 3x 3x 3
588:2x 2x 3x 7x 7
981:3x 3x 109
691:691
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 3x 3x 3x 7x 7 = 5292
Therefore, the value for common factors is 5292.
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 = 54842540459616/(1x5292)
LCM = 54842540459616/5292
LCM = 10363291848
Thus, we can understand that the LCM of 637,216,588,981,691 is 10363291848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 216, 588, 981, 691?
Answer: LCM of 637, 216, 588, 981, 691 is 10363291848.
2. How to calculate the LCM of 637, 216, 588, 981, 691?
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 637, 216, 588, 981, 691.
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}.