Find the LCM of 513, 520, 234, 707, 588 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 513, 520, 234, 707, 588. So, keep reading to learn more.
Given numbers are 513,520,234,707,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,520,234,707,588 is 1320195240.
Find LCM of 513,520,234,707,588 with Prime Factorization
2 | 513, 520, 234, 707, 588 |
2 | 513, 260, 117, 707, 294 |
3 | 513, 130, 117, 707, 147 |
3 | 171, 130, 39, 707, 49 |
7 | 57, 130, 13, 707, 49 |
13 | 57, 130, 13, 101, 7 |
57, 10, 1, 101, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 57 x 10 x 1 x 101 x 7 = 1320195240
Therefore, the lowest common multiple of 513,520,234,707,588 is 1320195240.
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.
513 x 520 x 234 x 707 x 588 = 25949757637440
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
707 : 1, 7, 101, 707
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,520,234,707,588, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
520:2x 2x 2x 5x 13
234:2x 3x 3x 13
707:7x 101
588:2x 2x 3x 7x 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 2x 2x 3x 3x 3x 7x 13 = 19656
Therefore, the value for common factors is 19656.
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 = 25949757637440/(1x19656)
LCM = 25949757637440/19656
LCM = 1320195240
Thus, we can understand that the LCM of 513,520,234,707,588 is 1320195240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 520, 234, 707, 588?
Answer: LCM of 513, 520, 234, 707, 588 is 1320195240.
2. How to calculate the LCM of 513, 520, 234, 707, 588?
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 513, 520, 234, 707, 588.
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}.