Find the LCM of 815, 334, 501, 557 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 815, 334, 501, 557. So, keep reading to learn more.
Given numbers are 815,334,501,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,334,501,557 is 454862910.
Find LCM of 815,334,501,557 with Prime Factorization
167 | 815, 334, 501, 557 |
815, 2, 3, 557 |
Multiply the prime numbers at the bottom and the left side.
167 x 815 x 2 x 3 x 557 = 454862910
Therefore, the lowest common multiple of 815,334,501,557 is 454862910.
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.
815 x 334 x 501 x 557 = 75962105970
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.
815 : 1, 5, 163, 815
334 : 1, 2, 167, 334
501 : 1, 3, 167, 501
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,334,501,557, is 1.
Now, the common factors can be found like this.
815:5x 163
334:2x 167
501:3x 167
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
167 = 167
Therefore, the value for common factors is 167.
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 = 75962105970/(1x167)
LCM = 75962105970/167
LCM = 454862910
Thus, we can understand that the LCM of 815,334,501,557 is 454862910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 334, 501, 557?
Answer: LCM of 815, 334, 501, 557 is 454862910.
2. How to calculate the LCM of 815, 334, 501, 557?
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 815, 334, 501, 557.
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}.