Find the LCM of 692, 134, 792, 803, 268 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 692, 134, 792, 803, 268. So, keep reading to learn more.
Given numbers are 692,134,792,803,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,134,792,803,268 is 670145256.
Find LCM of 692,134,792,803,268 with Prime Factorization
2 | 692, 134, 792, 803, 268 |
2 | 346, 67, 396, 803, 134 |
11 | 173, 67, 198, 803, 67 |
67 | 173, 67, 18, 73, 67 |
173, 1, 18, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 173 x 1 x 18 x 73 x 1 = 670145256
Therefore, the lowest common multiple of 692,134,792,803,268 is 670145256.
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.
692 x 134 x 792 x 803 x 268 = 15804705717504
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.
692 : 1, 2, 4, 173, 346, 692
134 : 1, 2, 67, 134
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
803 : 1, 11, 73, 803
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,134,792,803,268, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
134:2x 67
792:2x 2x 2x 3x 3x 11
803:11x 73
268:2x 2x 67
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 11x 67 = 23584
Therefore, the value for common factors is 23584.
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 = 15804705717504/(1x23584)
LCM = 15804705717504/23584
LCM = 670145256
Thus, we can understand that the LCM of 692,134,792,803,268 is 670145256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 692, 134, 792, 803, 268?
Answer: LCM of 692, 134, 792, 803, 268 is 670145256.
2. How to calculate the LCM of 692, 134, 792, 803, 268?
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 692, 134, 792, 803, 268.
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}.