LCM of 958, 560, 624, 561, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 560, 624, 561, 784 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 958, 560, 624, 561, 784. So, keep reading to learn more.
Given numbers are 958,560,624,561,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,560,624,561,784 is 13693920240.
Find LCM of 958,560,624,561,784 with Prime Factorization
| 2 | 958, 560, 624, 561, 784 |
| 2 | 479, 280, 312, 561, 392 |
| 2 | 479, 140, 156, 561, 196 |
| 2 | 479, 70, 78, 561, 98 |
| 3 | 479, 35, 39, 561, 49 |
| 7 | 479, 35, 13, 187, 49 |
| 479, 5, 13, 187, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 479 x 5 x 13 x 187 x 7 = 13693920240
Therefore, the lowest common multiple of 958,560,624,561,784 is 13693920240.
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.
958 x 560 x 624 x 561 x 784 = 147237030420480
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.
958 : 1, 2, 479, 958
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
561 : 1, 3, 11, 17, 33, 51, 187, 561
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,560,624,561,784, is 1.
Now, the common factors can be found like this.
958:2x 479
560:2x 2x 2x 2x 5x 7
624:2x 2x 2x 2x 3x 13
561:3x 11x 17
784:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 3x 7 = 10752
Therefore, the value for common factors is 10752.
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 = 147237030420480/(1x10752)
LCM = 147237030420480/10752
LCM = 13693920240
Thus, we can understand that the LCM of 958,560,624,561,784 is 13693920240.
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FAQs on LCM of 958, 560, 624, 561, 784
1. What is the LCM of 958, 560, 624, 561, 784?
Answer: LCM of 958, 560, 624, 561, 784 is 13693920240.
2. How to calculate the LCM of 958, 560, 624, 561, 784?
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 958, 560, 624, 561, 784.
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}.