Find the LCM of 884, 136, 638, 787, 696 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 884, 136, 638, 787, 696. So, keep reading to learn more.
Given numbers are 884,136,638,787,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,136,638,787,696 is 1331585112.
Find LCM of 884,136,638,787,696 with Prime Factorization
2 | 884, 136, 638, 787, 696 |
2 | 442, 68, 319, 787, 348 |
2 | 221, 34, 319, 787, 174 |
17 | 221, 17, 319, 787, 87 |
29 | 13, 1, 319, 787, 87 |
13, 1, 11, 787, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 29 x 13 x 1 x 11 x 787 x 3 = 1331585112
Therefore, the lowest common multiple of 884,136,638,787,696 is 1331585112.
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.
884 x 136 x 638 x 787 x 696 = 42014173453824
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
136 : 1, 2, 4, 8, 17, 34, 68, 136
638 : 1, 2, 11, 22, 29, 58, 319, 638
787 : 1, 787
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,136,638,787,696, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
136:2x 2x 2x 17
638:2x 11x 29
787:787
696:2x 2x 2x 3x 29
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 2x 2x 2x 17x 29 = 31552
Therefore, the value for common factors is 31552.
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 = 42014173453824/(1x31552)
LCM = 42014173453824/31552
LCM = 1331585112
Thus, we can understand that the LCM of 884,136,638,787,696 is 1331585112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 136, 638, 787, 696?
Answer: LCM of 884, 136, 638, 787, 696 is 1331585112.
2. How to calculate the LCM of 884, 136, 638, 787, 696?
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 884, 136, 638, 787, 696.
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}.