Find the LCM of 520, 440, 690, 424 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 520, 440, 690, 424. So, keep reading to learn more.
Given numbers are 520,440,690,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,440,690,424 is 20918040.
Find LCM of 520,440,690,424 with Prime Factorization
2 | 520, 440, 690, 424 |
2 | 260, 220, 345, 212 |
2 | 130, 110, 345, 106 |
5 | 65, 55, 345, 53 |
13, 11, 69, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 11 x 69 x 53 = 20918040
Therefore, the lowest common multiple of 520,440,690,424 is 20918040.
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.
520 x 440 x 690 x 424 = 66937728000
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
424 : 1, 2, 4, 8, 53, 106, 212, 424
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,440,690,424, is 2.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
440:2x 2x 2x 5x 11
690:2x 3x 5x 23
424:2x 2x 2x 53
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 2x 2x 2x 5x 5 = 1600
Therefore, the value for common factors is 1600.
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 = 66937728000/(2x1600)
LCM = 66937728000/3200
LCM = 20918040
Thus, we can understand that the LCM of 520,440,690,424 is 20918040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 520, 440, 690, 424?
Answer: LCM of 520, 440, 690, 424 is 20918040.
2. How to calculate the LCM of 520, 440, 690, 424?
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 520, 440, 690, 424.
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}.