LCM of 247, 962, 382, 512, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 962, 382, 512, 988 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 247, 962, 382, 512, 988. So, keep reading to learn more.
Given numbers are 247,962,382,512,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,962,382,512,988 is 893721088.
Find LCM of 247,962,382,512,988 with Prime Factorization
| 2 | 247, 962, 382, 512, 988 |
| 2 | 247, 481, 191, 256, 494 |
| 13 | 247, 481, 191, 128, 247 |
| 19 | 19, 37, 191, 128, 19 |
| 1, 37, 191, 128, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 1 x 37 x 191 x 128 x 1 = 893721088
Therefore, the lowest common multiple of 247,962,382,512,988 is 893721088.
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.
247 x 962 x 382 x 512 x 988 = 45915814617088
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.
247 : 1, 13, 19, 247
962 : 1, 2, 13, 26, 37, 74, 481, 962
382 : 1, 2, 191, 382
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,962,382,512,988, is 1.
Now, the common factors can be found like this.
247:13x 19
962:2x 13x 37
382:2x 191
512:2x 2x 2x 2x 2x 2x 2x 2x 2
988:2x 2x 13x 19
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 13x 13x 19 = 51376
Therefore, the value for common factors is 51376.
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 = 45915814617088/(1x51376)
LCM = 45915814617088/51376
LCM = 893721088
Thus, we can understand that the LCM of 247,962,382,512,988 is 893721088.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 247, 962, 382, 512, 988
1. What is the LCM of 247, 962, 382, 512, 988?
Answer: LCM of 247, 962, 382, 512, 988 is 893721088.
2. How to calculate the LCM of 247, 962, 382, 512, 988?
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 247, 962, 382, 512, 988.
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}.