LCM of 970, 698, 932, 136, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 698, 932, 136, 408 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 970, 698, 932, 136, 408. So, keep reading to learn more.
Given numbers are 970,698,932,136,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,698,932,136,408 is 16091007960.
Find LCM of 970,698,932,136,408 with Prime Factorization
| 2 | 970, 698, 932, 136, 408 |
| 2 | 485, 349, 466, 68, 204 |
| 2 | 485, 349, 233, 34, 102 |
| 17 | 485, 349, 233, 17, 51 |
| 485, 349, 233, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 485 x 349 x 233 x 1 x 3 = 16091007960
Therefore, the lowest common multiple of 970,698,932,136,408 is 16091007960.
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.
970 x 698 x 932 x 136 x 408 = 35014033320960
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
698 : 1, 2, 349, 698
932 : 1, 2, 4, 233, 466, 932
136 : 1, 2, 4, 8, 17, 34, 68, 136
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,698,932,136,408, is 2.
Now, the common factors can be found like this.
970:2x 5x 97
698:2x 349
932:2x 2x 233
136:2x 2x 2x 17
408:2x 2x 2x 3x 17
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 2x 2x 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 35014033320960/(2x1088)
LCM = 35014033320960/2176
LCM = 16091007960
Thus, we can understand that the LCM of 970,698,932,136,408 is 16091007960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 970, 698, 932, 136, 408
1. What is the LCM of 970, 698, 932, 136, 408?
Answer: LCM of 970, 698, 932, 136, 408 is 16091007960.
2. How to calculate the LCM of 970, 698, 932, 136, 408?
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 970, 698, 932, 136, 408.
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}.