LCM of 558, 105, 760, 331, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 105, 760, 331, 438 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 558, 105, 760, 331, 438. So, keep reading to learn more.
Given numbers are 558,105,760,331,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,105,760,331,438 is 35864657640.
Find LCM of 558,105,760,331,438 with Prime Factorization
| 2 | 558, 105, 760, 331, 438 |
| 3 | 279, 105, 380, 331, 219 |
| 5 | 93, 35, 380, 331, 73 |
| 93, 7, 76, 331, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 93 x 7 x 76 x 331 x 73 = 35864657640
Therefore, the lowest common multiple of 558,105,760,331,438 is 35864657640.
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.
558 x 105 x 760 x 331 x 438 = 6455638375200
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
105 : 1, 3, 5, 7, 15, 21, 35, 105
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
331 : 1, 331
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,105,760,331,438, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
105:3x 5x 7
760:2x 2x 2x 5x 19
331:331
438:2x 3x 73
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 6455638375200/(1x180)
LCM = 6455638375200/180
LCM = 35864657640
Thus, we can understand that the LCM of 558,105,760,331,438 is 35864657640.
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FAQs on LCM of 558, 105, 760, 331, 438
1. What is the LCM of 558, 105, 760, 331, 438?
Answer: LCM of 558, 105, 760, 331, 438 is 35864657640.
2. How to calculate the LCM of 558, 105, 760, 331, 438?
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 558, 105, 760, 331, 438.
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}.