LCM of 397, 596, 558, 780, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 596, 558, 780, 505 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 397, 596, 558, 780, 505. So, keep reading to learn more.
Given numbers are 397,596,558,780,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,596,558,780,505 is 433386820620.
Find LCM of 397,596,558,780,505 with Prime Factorization
| 2 | 397, 596, 558, 780, 505 |
| 2 | 397, 298, 279, 390, 505 |
| 3 | 397, 149, 279, 195, 505 |
| 5 | 397, 149, 93, 65, 505 |
| 397, 149, 93, 13, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 397 x 149 x 93 x 13 x 101 = 433386820620
Therefore, the lowest common multiple of 397,596,558,780,505 is 433386820620.
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.
397 x 596 x 558 x 780 x 505 = 52006418474400
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.
397 : 1, 397
596 : 1, 2, 4, 149, 298, 596
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,596,558,780,505, is 1.
Now, the common factors can be found like this.
397:397
596:2x 2x 149
558:2x 3x 3x 31
780:2x 2x 3x 5x 13
505:5x 101
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 5 = 120
Therefore, the value for common factors is 120.
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 = 52006418474400/(1x120)
LCM = 52006418474400/120
LCM = 433386820620
Thus, we can understand that the LCM of 397,596,558,780,505 is 433386820620.
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FAQs on LCM of 397, 596, 558, 780, 505
1. What is the LCM of 397, 596, 558, 780, 505?
Answer: LCM of 397, 596, 558, 780, 505 is 433386820620.
2. How to calculate the LCM of 397, 596, 558, 780, 505?
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 397, 596, 558, 780, 505.
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}.