Find the LCM of 587, 253, 759, 562, 361 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 587, 253, 759, 562, 361. So, keep reading to learn more.
Given numbers are 587,253,759,562,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,253,759,562,361 is 90390626106.
Find LCM of 587,253,759,562,361 with Prime Factorization
11 | 587, 253, 759, 562, 361 |
23 | 587, 23, 69, 562, 361 |
587, 1, 3, 562, 361 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 587 x 1 x 3 x 562 x 361 = 90390626106
Therefore, the lowest common multiple of 587,253,759,562,361 is 90390626106.
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.
587 x 253 x 759 x 562 x 361 = 22868828404818
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.
587 : 1, 587
253 : 1, 11, 23, 253
759 : 1, 3, 11, 23, 33, 69, 253, 759
562 : 1, 2, 281, 562
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,253,759,562,361, is 1.
Now, the common factors can be found like this.
587:587
253:11x 23
759:3x 11x 23
562:2x 281
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 22868828404818/(1x253)
LCM = 22868828404818/253
LCM = 90390626106
Thus, we can understand that the LCM of 587,253,759,562,361 is 90390626106.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 253, 759, 562, 361?
Answer: LCM of 587, 253, 759, 562, 361 is 90390626106.
2. How to calculate the LCM of 587, 253, 759, 562, 361?
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 587, 253, 759, 562, 361.
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}.