Find the LCM of 624, 326, 832, 805, 782 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 624, 326, 832, 805, 782. So, keep reading to learn more.
Given numbers are 624,326,832,805,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,326,832,805,782 is 5567714880.
Find LCM of 624,326,832,805,782 with Prime Factorization
2 | 624, 326, 832, 805, 782 |
2 | 312, 163, 416, 805, 391 |
2 | 156, 163, 208, 805, 391 |
2 | 78, 163, 104, 805, 391 |
13 | 39, 163, 52, 805, 391 |
23 | 3, 163, 4, 805, 391 |
3, 163, 4, 35, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 23 x 3 x 163 x 4 x 35 x 17 = 5567714880
Therefore, the lowest common multiple of 624,326,832,805,782 is 5567714880.
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.
624 x 326 x 832 x 805 x 782 = 106543791943680
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
326 : 1, 2, 163, 326
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
805 : 1, 5, 7, 23, 35, 115, 161, 805
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,326,832,805,782, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
326:2x 163
832:2x 2x 2x 2x 2x 2x 13
805:5x 7x 23
782:2x 17x 23
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 13x 23 = 19136
Therefore, the value for common factors is 19136.
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 = 106543791943680/(1x19136)
LCM = 106543791943680/19136
LCM = 5567714880
Thus, we can understand that the LCM of 624,326,832,805,782 is 5567714880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 624, 326, 832, 805, 782?
Answer: LCM of 624, 326, 832, 805, 782 is 5567714880.
2. How to calculate the LCM of 624, 326, 832, 805, 782?
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 624, 326, 832, 805, 782.
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}.