LCM of 588, 958, 621, 119, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 958, 621, 119, 345 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 588, 958, 621, 119, 345. So, keep reading to learn more.
Given numbers are 588,958,621,119,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,958,621,119,345 is 4955666940.
Find LCM of 588,958,621,119,345 with Prime Factorization
| 2 | 588, 958, 621, 119, 345 |
| 3 | 294, 479, 621, 119, 345 |
| 7 | 98, 479, 207, 119, 115 |
| 23 | 14, 479, 207, 17, 115 |
| 14, 479, 9, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 14 x 479 x 9 x 17 x 5 = 4955666940
Therefore, the lowest common multiple of 588,958,621,119,345 is 4955666940.
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.
588 x 958 x 621 x 119 x 345 = 14361522792120
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
958 : 1, 2, 479, 958
621 : 1, 3, 9, 23, 27, 69, 207, 621
119 : 1, 7, 17, 119
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,958,621,119,345, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
958:2x 479
621:3x 3x 3x 23
119:7x 17
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 23 = 2898
Therefore, the value for common factors is 2898.
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 = 14361522792120/(1x2898)
LCM = 14361522792120/2898
LCM = 4955666940
Thus, we can understand that the LCM of 588,958,621,119,345 is 4955666940.
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FAQs on LCM of 588, 958, 621, 119, 345
1. What is the LCM of 588, 958, 621, 119, 345?
Answer: LCM of 588, 958, 621, 119, 345 is 4955666940.
2. How to calculate the LCM of 588, 958, 621, 119, 345?
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 588, 958, 621, 119, 345.
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}.