Find the LCM of 957, 810, 242, 470, 118 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 957, 810, 242, 470, 118. So, keep reading to learn more.
Given numbers are 957,810,242,470,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,810,242,470,118 is 7881670170.
Find LCM of 957,810,242,470,118 with Prime Factorization
2 | 957, 810, 242, 470, 118 |
3 | 957, 405, 121, 235, 59 |
5 | 319, 135, 121, 235, 59 |
11 | 319, 27, 121, 47, 59 |
29, 27, 11, 47, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 29 x 27 x 11 x 47 x 59 = 7881670170
Therefore, the lowest common multiple of 957,810,242,470,118 is 7881670170.
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.
957 x 810 x 242 x 470 x 118 = 10403804624400
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
242 : 1, 2, 11, 22, 121, 242
470 : 1, 2, 5, 10, 47, 94, 235, 470
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,810,242,470,118, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
810:2x 3x 3x 3x 3x 5
242:2x 11x 11
470:2x 5x 47
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 10403804624400/(1x1320)
LCM = 10403804624400/1320
LCM = 7881670170
Thus, we can understand that the LCM of 957,810,242,470,118 is 7881670170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 810, 242, 470, 118?
Answer: LCM of 957, 810, 242, 470, 118 is 7881670170.
2. How to calculate the LCM of 957, 810, 242, 470, 118?
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 957, 810, 242, 470, 118.
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}.