Find the LCM of 694, 756, 362, 792 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 694, 756, 362, 792. So, keep reading to learn more.
Given numbers are 694,756,362,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,756,362,792 is 1044606024.
Find LCM of 694,756,362,792 with Prime Factorization
2 | 694, 756, 362, 792 |
2 | 347, 378, 181, 396 |
3 | 347, 189, 181, 198 |
3 | 347, 63, 181, 66 |
347, 21, 181, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 347 x 21 x 181 x 22 = 1044606024
Therefore, the lowest common multiple of 694,756,362,792 is 1044606024.
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.
694 x 756 x 362 x 792 = 150423267456
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.
694 : 1, 2, 347, 694
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
362 : 1, 2, 181, 362
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,756,362,792, is 2.
Now, the common factors can be found like this.
694:2x 347
756:2x 2x 3x 3x 3x 7
362:2x 181
792:2x 2x 2x 3x 3x 11
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 150423267456/(2x72)
LCM = 150423267456/144
LCM = 1044606024
Thus, we can understand that the LCM of 694,756,362,792 is 1044606024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 694, 756, 362, 792?
Answer: LCM of 694, 756, 362, 792 is 1044606024.
2. How to calculate the LCM of 694, 756, 362, 792?
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 694, 756, 362, 792.
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}.