Find the LCM of 561, 507, 875, 428 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 561, 507, 875, 428. So, keep reading to learn more.
Given numbers are 561,507,875,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,507,875,428 is 35505970500.
Find LCM of 561,507,875,428 with Prime Factorization
3 | 561, 507, 875, 428 |
187, 169, 875, 428 |
Multiply the prime numbers at the bottom and the left side.
3 x 187 x 169 x 875 x 428 = 35505970500
Therefore, the lowest common multiple of 561,507,875,428 is 35505970500.
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.
561 x 507 x 875 x 428 = 106517911500
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
507 : 1, 3, 13, 39, 169, 507
875 : 1, 5, 7, 25, 35, 125, 175, 875
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,507,875,428, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
507:3x 13x 13
875:5x 5x 5x 7
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 106517911500/(1x3)
LCM = 106517911500/3
LCM = 35505970500
Thus, we can understand that the LCM of 561,507,875,428 is 35505970500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 507, 875, 428?
Answer: LCM of 561, 507, 875, 428 is 35505970500.
2. How to calculate the LCM of 561, 507, 875, 428?
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 561, 507, 875, 428.
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}.