LCM of 957, 905, 455, 770, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 905, 455, 770, 404 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, 905, 455, 770, 404. So, keep reading to learn more.
Given numbers are 957,905,455,770,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,905,455,770,404 is 31840748940.
Find LCM of 957,905,455,770,404 with Prime Factorization
| 2 | 957, 905, 455, 770, 404 |
| 5 | 957, 905, 455, 385, 202 |
| 7 | 957, 181, 91, 77, 202 |
| 11 | 957, 181, 13, 11, 202 |
| 87, 181, 13, 1, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 87 x 181 x 13 x 1 x 202 = 31840748940
Therefore, the lowest common multiple of 957,905,455,770,404 is 31840748940.
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 905 x 455 x 770 x 404 = 122586883419000
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
905 : 1, 5, 181, 905
455 : 1, 5, 7, 13, 35, 65, 91, 455
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,905,455,770,404, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
905:5x 181
455:5x 7x 13
770:2x 5x 7x 11
404:2x 2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 11 = 3850
Therefore, the value for common factors is 3850.
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 = 122586883419000/(1x3850)
LCM = 122586883419000/3850
LCM = 31840748940
Thus, we can understand that the LCM of 957,905,455,770,404 is 31840748940.
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FAQs on LCM of 957, 905, 455, 770, 404
1. What is the LCM of 957, 905, 455, 770, 404?
Answer: LCM of 957, 905, 455, 770, 404 is 31840748940.
2. How to calculate the LCM of 957, 905, 455, 770, 404?
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, 905, 455, 770, 404.
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}.