Find the LCM of 375, 404, 331, 720, 649 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 375, 404, 331, 720, 649. So, keep reading to learn more.
Given numbers are 375,404,331,720,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,404,331,720,649 is 390540942000.
Find LCM of 375,404,331,720,649 with Prime Factorization
2 | 375, 404, 331, 720, 649 |
2 | 375, 202, 331, 360, 649 |
3 | 375, 101, 331, 180, 649 |
5 | 125, 101, 331, 60, 649 |
25, 101, 331, 12, 649 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 25 x 101 x 331 x 12 x 649 = 390540942000
Therefore, the lowest common multiple of 375,404,331,720,649 is 390540942000.
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.
375 x 404 x 331 x 720 x 649 = 23432456520000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
404 : 1, 2, 4, 101, 202, 404
331 : 1, 331
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,404,331,720,649, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
404:2x 2x 101
331:331
720:2x 2x 2x 2x 3x 3x 5
649:11x 59
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 5 = 60
Therefore, the value for common factors is 60.
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 = 23432456520000/(1x60)
LCM = 23432456520000/60
LCM = 390540942000
Thus, we can understand that the LCM of 375,404,331,720,649 is 390540942000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 375, 404, 331, 720, 649?
Answer: LCM of 375, 404, 331, 720, 649 is 390540942000.
2. How to calculate the LCM of 375, 404, 331, 720, 649?
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 375, 404, 331, 720, 649.
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}.