Find the LCM of 122, 640, 551, 264, 570 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 122, 640, 551, 264, 570. So, keep reading to learn more.
Given numbers are 122,640,551,264,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,640,551,264,570 is 709864320.
Find LCM of 122,640,551,264,570 with Prime Factorization
2 | 122, 640, 551, 264, 570 |
2 | 61, 320, 551, 132, 285 |
2 | 61, 160, 551, 66, 285 |
3 | 61, 80, 551, 33, 285 |
5 | 61, 80, 551, 11, 95 |
19 | 61, 16, 551, 11, 19 |
61, 16, 29, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 61 x 16 x 29 x 11 x 1 = 709864320
Therefore, the lowest common multiple of 122,640,551,264,570 is 709864320.
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.
122 x 640 x 551 x 264 x 570 = 6473962598400
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.
122 : 1, 2, 61, 122
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
551 : 1, 19, 29, 551
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,640,551,264,570, is 1.
Now, the common factors can be found like this.
122:2x 61
640:2x 2x 2x 2x 2x 2x 2x 5
551:19x 29
264:2x 2x 2x 3x 11
570:2x 3x 5x 19
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 3x 5x 19 = 9120
Therefore, the value for common factors is 9120.
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 = 6473962598400/(1x9120)
LCM = 6473962598400/9120
LCM = 709864320
Thus, we can understand that the LCM of 122,640,551,264,570 is 709864320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 122, 640, 551, 264, 570?
Answer: LCM of 122, 640, 551, 264, 570 is 709864320.
2. How to calculate the LCM of 122, 640, 551, 264, 570?
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 122, 640, 551, 264, 570.
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}.