LCM of 986, 157, 464, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 157, 464, 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 986, 157, 464, 408. So, keep reading to learn more.
Given numbers are 986,157,464,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,157,464,408 is 3715248.
Find LCM of 986,157,464,408 with Prime Factorization
| 2 | 986, 157, 464, 408 |
| 2 | 493, 157, 232, 204 |
| 2 | 493, 157, 116, 102 |
| 17 | 493, 157, 58, 51 |
| 29 | 29, 157, 58, 3 |
| 1, 157, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 29 x 1 x 157 x 2 x 3 = 3715248
Therefore, the lowest common multiple of 986,157,464,408 is 3715248.
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.
986 x 157 x 464 x 408 = 29305876224
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
157 : 1, 157
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,157,464,408, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
157:157
464:2x 2x 2x 2x 29
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 17x 29 = 7888
Therefore, the value for common factors is 7888.
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 = 29305876224/(1x7888)
LCM = 29305876224/7888
LCM = 3715248
Thus, we can understand that the LCM of 986,157,464,408 is 3715248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 986, 157, 464, 408
1. What is the LCM of 986, 157, 464, 408?
Answer: LCM of 986, 157, 464, 408 is 3715248.
2. How to calculate the LCM of 986, 157, 464, 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 986, 157, 464, 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}.