Find the LCM of 567, 442, 510, 762, 656 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 567, 442, 510, 762, 656. So, keep reading to learn more.
Given numbers are 567,442,510,762,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,442,510,762,656 is 52197883920.
Find LCM of 567,442,510,762,656 with Prime Factorization
2 | 567, 442, 510, 762, 656 |
3 | 567, 221, 255, 381, 328 |
17 | 189, 221, 85, 127, 328 |
189, 13, 5, 127, 328 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 189 x 13 x 5 x 127 x 328 = 52197883920
Therefore, the lowest common multiple of 567,442,510,762,656 is 52197883920.
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.
567 x 442 x 510 x 762 x 656 = 63890209918080
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
442 : 1, 2, 13, 17, 26, 34, 221, 442
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
762 : 1, 2, 3, 6, 127, 254, 381, 762
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,442,510,762,656, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
442:2x 13x 17
510:2x 3x 5x 17
762:2x 3x 127
656:2x 2x 2x 2x 41
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 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 63890209918080/(1x1224)
LCM = 63890209918080/1224
LCM = 52197883920
Thus, we can understand that the LCM of 567,442,510,762,656 is 52197883920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 442, 510, 762, 656?
Answer: LCM of 567, 442, 510, 762, 656 is 52197883920.
2. How to calculate the LCM of 567, 442, 510, 762, 656?
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 567, 442, 510, 762, 656.
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}.