LCM of 957, 132, 779, 570, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 132, 779, 570, 115 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, 132, 779, 570, 115. So, keep reading to learn more.
Given numbers are 957,132,779,570,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,132,779,570,115 is 342931380.
Find LCM of 957,132,779,570,115 with Prime Factorization
| 2 | 957, 132, 779, 570, 115 |
| 3 | 957, 66, 779, 285, 115 |
| 5 | 319, 22, 779, 95, 115 |
| 11 | 319, 22, 779, 19, 23 |
| 19 | 29, 2, 779, 19, 23 |
| 29, 2, 41, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 29 x 2 x 41 x 1 x 23 = 342931380
Therefore, the lowest common multiple of 957,132,779,570,115 is 342931380.
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 132 x 779 x 570 x 115 = 6450539257800
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
779 : 1, 19, 41, 779
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,132,779,570,115, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
132:2x 2x 3x 11
779:19x 41
570:2x 3x 5x 19
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 11x 19 = 18810
Therefore, the value for common factors is 18810.
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 = 6450539257800/(1x18810)
LCM = 6450539257800/18810
LCM = 342931380
Thus, we can understand that the LCM of 957,132,779,570,115 is 342931380.
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FAQs on LCM of 957, 132, 779, 570, 115
1. What is the LCM of 957, 132, 779, 570, 115?
Answer: LCM of 957, 132, 779, 570, 115 is 342931380.
2. How to calculate the LCM of 957, 132, 779, 570, 115?
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, 132, 779, 570, 115.
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}.