Find the LCM of 563, 874, 566, 642, 762 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 563, 874, 566, 642, 762. So, keep reading to learn more.
Given numbers are 563,874,566,642,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,874,566,642,762 is 5676949309782.
Find LCM of 563,874,566,642,762 with Prime Factorization
2 | 563, 874, 566, 642, 762 |
3 | 563, 437, 283, 321, 381 |
563, 437, 283, 107, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 563 x 437 x 283 x 107 x 127 = 5676949309782
Therefore, the lowest common multiple of 563,874,566,642,762 is 5676949309782.
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.
563 x 874 x 566 x 642 x 762 = 136246783434768
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.
563 : 1, 563
874 : 1, 2, 19, 23, 38, 46, 437, 874
566 : 1, 2, 283, 566
642 : 1, 2, 3, 6, 107, 214, 321, 642
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,874,566,642,762, is 1.
Now, the common factors can be found like this.
563:563
874:2x 19x 23
566:2x 283
642:2x 3x 107
762:2x 3x 127
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 3 = 24
Therefore, the value for common factors is 24.
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 = 136246783434768/(1x24)
LCM = 136246783434768/24
LCM = 5676949309782
Thus, we can understand that the LCM of 563,874,566,642,762 is 5676949309782.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 874, 566, 642, 762?
Answer: LCM of 563, 874, 566, 642, 762 is 5676949309782.
2. How to calculate the LCM of 563, 874, 566, 642, 762?
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 563, 874, 566, 642, 762.
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}.