Find the LCM of 237, 574, 451, 225, 875 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 237, 574, 451, 225, 875. So, keep reading to learn more.
Given numbers are 237,574,451,225,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,574,451,225,875 is 561156750.
Find LCM of 237,574,451,225,875 with Prime Factorization
3 | 237, 574, 451, 225, 875 |
5 | 79, 574, 451, 75, 875 |
5 | 79, 574, 451, 15, 175 |
7 | 79, 574, 451, 3, 35 |
41 | 79, 82, 451, 3, 5 |
79, 2, 11, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 41 x 79 x 2 x 11 x 3 x 5 = 561156750
Therefore, the lowest common multiple of 237,574,451,225,875 is 561156750.
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.
237 x 574 x 451 x 225 x 875 = 12078899043750
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.
237 : 1, 3, 79, 237
574 : 1, 2, 7, 14, 41, 82, 287, 574
451 : 1, 11, 41, 451
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,574,451,225,875, is 1.
Now, the common factors can be found like this.
237:3x 79
574:2x 7x 41
451:11x 41
225:3x 3x 5x 5
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 41 = 21525
Therefore, the value for common factors is 21525.
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 = 12078899043750/(1x21525)
LCM = 12078899043750/21525
LCM = 561156750
Thus, we can understand that the LCM of 237,574,451,225,875 is 561156750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 237, 574, 451, 225, 875?
Answer: LCM of 237, 574, 451, 225, 875 is 561156750.
2. How to calculate the LCM of 237, 574, 451, 225, 875?
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 237, 574, 451, 225, 875.
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}.