LCM of 961, 147, 178, 403, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 147, 178, 403, 455 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 961, 147, 178, 403, 455. So, keep reading to learn more.
Given numbers are 961,147,178,403,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,147,178,403,455 is 1634459190.
Find LCM of 961,147,178,403,455 with Prime Factorization
| 7 | 961, 147, 178, 403, 455 |
| 13 | 961, 21, 178, 403, 65 |
| 31 | 961, 21, 178, 31, 5 |
| 1, 21, 178, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 31 x 1 x 21 x 178 x 31 x 5 = 1634459190
Therefore, the lowest common multiple of 961,147,178,403,455 is 1634459190.
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.
961 x 147 x 178 x 403 x 455 = 4610809374990
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.
961 : 1, 31, 961
147 : 1, 3, 7, 21, 49, 147
178 : 1, 2, 89, 178
403 : 1, 13, 31, 403
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,147,178,403,455, is 1.
Now, the common factors can be found like this.
961:31x 31
147:3x 7x 7
178:2x 89
403:13x 31
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 31 = 2821
Therefore, the value for common factors is 2821.
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 = 4610809374990/(1x2821)
LCM = 4610809374990/2821
LCM = 1634459190
Thus, we can understand that the LCM of 961,147,178,403,455 is 1634459190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 147, 178, 403, 455
1. What is the LCM of 961, 147, 178, 403, 455?
Answer: LCM of 961, 147, 178, 403, 455 is 1634459190.
2. How to calculate the LCM of 961, 147, 178, 403, 455?
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 961, 147, 178, 403, 455.
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}.