Find the LCM of 567, 697, 939, 562, 763 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, 697, 939, 562, 763. So, keep reading to learn more.
Given numbers are 567,697,939,562,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,697,939,562,763 is 7577448407046.
Find LCM of 567,697,939,562,763 with Prime Factorization
3 | 567, 697, 939, 562, 763 |
7 | 189, 697, 313, 562, 763 |
27, 697, 313, 562, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 27 x 697 x 313 x 562 x 109 = 7577448407046
Therefore, the lowest common multiple of 567,697,939,562,763 is 7577448407046.
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 697 x 939 x 562 x 763 = 159126416547966
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
697 : 1, 17, 41, 697
939 : 1, 3, 313, 939
562 : 1, 2, 281, 562
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,697,939,562,763, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
697:17x 41
939:3x 313
562:2x 281
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 159126416547966/(1x21)
LCM = 159126416547966/21
LCM = 7577448407046
Thus, we can understand that the LCM of 567,697,939,562,763 is 7577448407046.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 697, 939, 562, 763?
Answer: LCM of 567, 697, 939, 562, 763 is 7577448407046.
2. How to calculate the LCM of 567, 697, 939, 562, 763?
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, 697, 939, 562, 763.
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}.