Find the LCM of 840, 428, 525, 506, 591 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 840, 428, 525, 506, 591. So, keep reading to learn more.
Given numbers are 840,428,525,506,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,428,525,506,591 is 22398545400.
Find LCM of 840,428,525,506,591 with Prime Factorization
2 | 840, 428, 525, 506, 591 |
2 | 420, 214, 525, 253, 591 |
3 | 210, 107, 525, 253, 591 |
5 | 70, 107, 175, 253, 197 |
7 | 14, 107, 35, 253, 197 |
2, 107, 5, 253, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 2 x 107 x 5 x 253 x 197 = 22398545400
Therefore, the lowest common multiple of 840,428,525,506,591 is 22398545400.
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.
840 x 428 x 525 x 506 x 591 = 56444334408000
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
428 : 1, 2, 4, 107, 214, 428
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
506 : 1, 2, 11, 22, 23, 46, 253, 506
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,428,525,506,591, is 1.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
428:2x 2x 107
525:3x 5x 5x 7
506:2x 11x 23
591:3x 197
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 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 56444334408000/(1x2520)
LCM = 56444334408000/2520
LCM = 22398545400
Thus, we can understand that the LCM of 840,428,525,506,591 is 22398545400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 840, 428, 525, 506, 591?
Answer: LCM of 840, 428, 525, 506, 591 is 22398545400.
2. How to calculate the LCM of 840, 428, 525, 506, 591?
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 840, 428, 525, 506, 591.
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}.