Find the LCM of 736, 994, 382, 592, 644 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 736, 994, 382, 592, 644. So, keep reading to learn more.
Given numbers are 736,994,382,592,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,994,382,592,644 is 2585052064.
Find LCM of 736,994,382,592,644 with Prime Factorization
2 | 736, 994, 382, 592, 644 |
2 | 368, 497, 191, 296, 322 |
2 | 184, 497, 191, 148, 161 |
2 | 92, 497, 191, 74, 161 |
7 | 46, 497, 191, 37, 161 |
23 | 46, 71, 191, 37, 23 |
2, 71, 191, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 23 x 2 x 71 x 191 x 37 x 1 = 2585052064
Therefore, the lowest common multiple of 736,994,382,592,644 is 2585052064.
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.
736 x 994 x 382 x 592 x 644 = 106545505869824
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
994 : 1, 2, 7, 14, 71, 142, 497, 994
382 : 1, 2, 191, 382
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,994,382,592,644, is 2.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
994:2x 7x 71
382:2x 191
592:2x 2x 2x 2x 37
644:2x 2x 7x 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 2x 7x 23 = 20608
Therefore, the value for common factors is 20608.
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 = 106545505869824/(2x20608)
LCM = 106545505869824/41216
LCM = 2585052064
Thus, we can understand that the LCM of 736,994,382,592,644 is 2585052064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 994, 382, 592, 644?
Answer: LCM of 736, 994, 382, 592, 644 is 2585052064.
2. How to calculate the LCM of 736, 994, 382, 592, 644?
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 736, 994, 382, 592, 644.
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}.