LCM of 605, 374, 588, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 374, 588, 567 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 605, 374, 588, 567. So, keep reading to learn more.
Given numbers are 605,374,588,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,374,588,567 is 163284660.
Find LCM of 605,374,588,567 with Prime Factorization
| 2 | 605, 374, 588, 567 |
| 3 | 605, 187, 294, 567 |
| 7 | 605, 187, 98, 189 |
| 11 | 605, 187, 14, 27 |
| 55, 17, 14, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 55 x 17 x 14 x 27 = 163284660
Therefore, the lowest common multiple of 605,374,588,567 is 163284660.
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.
605 x 374 x 588 x 567 = 75437512920
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.
605 : 1, 5, 11, 55, 121, 605
374 : 1, 2, 11, 17, 22, 34, 187, 374
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,374,588,567, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
374:2x 11x 17
588:2x 2x 3x 7x 7
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 75437512920/(1x462)
LCM = 75437512920/462
LCM = 163284660
Thus, we can understand that the LCM of 605,374,588,567 is 163284660.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 605, 374, 588, 567
1. What is the LCM of 605, 374, 588, 567?
Answer: LCM of 605, 374, 588, 567 is 163284660.
2. How to calculate the LCM of 605, 374, 588, 567?
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 605, 374, 588, 567.
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}.