LCM of 961, 389, 682, 176, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 389, 682, 176, 670 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, 389, 682, 176, 670. So, keep reading to learn more.
Given numbers are 961,389,682,176,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,389,682,176,670 is 22040957840.
Find LCM of 961,389,682,176,670 with Prime Factorization
| 2 | 961, 389, 682, 176, 670 |
| 11 | 961, 389, 341, 88, 335 |
| 31 | 961, 389, 31, 8, 335 |
| 1, 389, 31, 8, 335 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 1 x 389 x 31 x 8 x 335 = 22040957840
Therefore, the lowest common multiple of 961,389,682,176,670 is 22040957840.
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 389 x 682 x 176 x 670 = 30063866493760
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
389 : 1, 389
682 : 1, 2, 11, 22, 31, 62, 341, 682
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,389,682,176,670, is 1.
Now, the common factors can be found like this.
961:31x 31
389:389
682:2x 11x 31
176:2x 2x 2x 2x 11
670:2x 5x 67
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 30063866493760/(1x1364)
LCM = 30063866493760/1364
LCM = 22040957840
Thus, we can understand that the LCM of 961,389,682,176,670 is 22040957840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 389, 682, 176, 670
1. What is the LCM of 961, 389, 682, 176, 670?
Answer: LCM of 961, 389, 682, 176, 670 is 22040957840.
2. How to calculate the LCM of 961, 389, 682, 176, 670?
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, 389, 682, 176, 670.
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}.