Find the LCM of 187, 697, 351, 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 187, 697, 351, 557. So, keep reading to learn more.
Given numbers are 187,697,351,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,697,351,557 is 1498952169.
Find LCM of 187,697,351,557 with Prime Factorization
17 | 187, 697, 351, 557 |
11, 41, 351, 557 |
Multiply the prime numbers at the bottom and the left side.
17 x 11 x 41 x 351 x 557 = 1498952169
Therefore, the lowest common multiple of 187,697,351,557 is 1498952169.
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.
187 x 697 x 351 x 557 = 25482186873
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.
187 : 1, 11, 17, 187
697 : 1, 17, 41, 697
351 : 1, 3, 9, 13, 27, 39, 117, 351
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,697,351,557, is 1.
Now, the common factors can be found like this.
187:11x 17
697:17x 41
351:3x 3x 3x 13
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.
17 = 17
Therefore, the value for common factors is 17.
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 = 25482186873/(1x17)
LCM = 25482186873/17
LCM = 1498952169
Thus, we can understand that the LCM of 187,697,351,557 is 1498952169.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 187, 697, 351, 557?
Answer: LCM of 187, 697, 351, 557 is 1498952169.
2. How to calculate the LCM of 187, 697, 351, 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 187, 697, 351, 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}.