Find the LCM of 899, 542, 330, 576, 377 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 899, 542, 330, 576, 377. So, keep reading to learn more.
Given numbers are 899,542,330,576,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,542,330,576,377 is 100336167360.
Find LCM of 899,542,330,576,377 with Prime Factorization
2 | 899, 542, 330, 576, 377 |
3 | 899, 271, 165, 288, 377 |
29 | 899, 271, 55, 96, 377 |
31, 271, 55, 96, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 31 x 271 x 55 x 96 x 13 = 100336167360
Therefore, the lowest common multiple of 899,542,330,576,377 is 100336167360.
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.
899 x 542 x 330 x 576 x 377 = 34916986241280
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.
899 : 1, 29, 31, 899
542 : 1, 2, 271, 542
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,542,330,576,377, is 1.
Now, the common factors can be found like this.
899:29x 31
542:2x 271
330:2x 3x 5x 11
576:2x 2x 2x 2x 2x 2x 3x 3
377:13x 29
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 29 = 348
Therefore, the value for common factors is 348.
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 = 34916986241280/(1x348)
LCM = 34916986241280/348
LCM = 100336167360
Thus, we can understand that the LCM of 899,542,330,576,377 is 100336167360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 899, 542, 330, 576, 377?
Answer: LCM of 899, 542, 330, 576, 377 is 100336167360.
2. How to calculate the LCM of 899, 542, 330, 576, 377?
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 899, 542, 330, 576, 377.
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}.