LCM of 957, 969, 440, 277, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 969, 440, 277, 399 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, 969, 440, 277, 399. So, keep reading to learn more.
Given numbers are 957,969,440,277,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,969,440,277,399 is 23974649160.
Find LCM of 957,969,440,277,399 with Prime Factorization
| 3 | 957, 969, 440, 277, 399 |
| 11 | 319, 323, 440, 277, 133 |
| 19 | 29, 323, 40, 277, 133 |
| 29, 17, 40, 277, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 29 x 17 x 40 x 277 x 7 = 23974649160
Therefore, the lowest common multiple of 957,969,440,277,399 is 23974649160.
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 969 x 440 x 277 x 399 = 45096315069960
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
277 : 1, 277
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,969,440,277,399, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
969:3x 17x 19
440:2x 2x 2x 5x 11
277:277
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 19 = 1881
Therefore, the value for common factors is 1881.
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 = 45096315069960/(1x1881)
LCM = 45096315069960/1881
LCM = 23974649160
Thus, we can understand that the LCM of 957,969,440,277,399 is 23974649160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 957, 969, 440, 277, 399
1. What is the LCM of 957, 969, 440, 277, 399?
Answer: LCM of 957, 969, 440, 277, 399 is 23974649160.
2. How to calculate the LCM of 957, 969, 440, 277, 399?
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, 969, 440, 277, 399.
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}.