LCM of 583, 695, 704, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 695, 704, 540 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 583, 695, 704, 540. So, keep reading to learn more.
Given numbers are 583,695,704,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,695,704,540 is 700159680.
Find LCM of 583,695,704,540 with Prime Factorization
| 2 | 583, 695, 704, 540 |
| 2 | 583, 695, 352, 270 |
| 5 | 583, 695, 176, 135 |
| 11 | 583, 139, 176, 27 |
| 53, 139, 16, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 53 x 139 x 16 x 27 = 700159680
Therefore, the lowest common multiple of 583,695,704,540 is 700159680.
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.
583 x 695 x 704 x 540 = 154035129600
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.
583 : 1, 11, 53, 583
695 : 1, 5, 139, 695
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,695,704,540, is 1.
Now, the common factors can be found like this.
583:11x 53
695:5x 139
704:2x 2x 2x 2x 2x 2x 11
540:2x 2x 3x 3x 3x 5
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 154035129600/(1x220)
LCM = 154035129600/220
LCM = 700159680
Thus, we can understand that the LCM of 583,695,704,540 is 700159680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 583, 695, 704, 540
1. What is the LCM of 583, 695, 704, 540?
Answer: LCM of 583, 695, 704, 540 is 700159680.
2. How to calculate the LCM of 583, 695, 704, 540?
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 583, 695, 704, 540.
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}.