LCM of 813, 988, 687, 780, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 988, 687, 780, 494 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 813, 988, 687, 780, 494. So, keep reading to learn more.
Given numbers are 813,988,687,780,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,988,687,780,494 is 919714380.
Find LCM of 813,988,687,780,494 with Prime Factorization
| 2 | 813, 988, 687, 780, 494 |
| 2 | 813, 494, 687, 390, 247 |
| 3 | 813, 247, 687, 195, 247 |
| 13 | 271, 247, 229, 65, 247 |
| 19 | 271, 19, 229, 5, 19 |
| 271, 1, 229, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 271 x 1 x 229 x 5 x 1 = 919714380
Therefore, the lowest common multiple of 813,988,687,780,494 is 919714380.
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.
813 x 988 x 687 x 780 x 494 = 212630606940960
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.
813 : 1, 3, 271, 813
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
687 : 1, 3, 229, 687
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,988,687,780,494, is 1.
Now, the common factors can be found like this.
813:3x 271
988:2x 2x 13x 19
687:3x 229
780:2x 2x 3x 5x 13
494:2x 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 3x 3x 13x 13x 19 = 231192
Therefore, the value for common factors is 231192.
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 = 212630606940960/(1x231192)
LCM = 212630606940960/231192
LCM = 919714380
Thus, we can understand that the LCM of 813,988,687,780,494 is 919714380.
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FAQs on LCM of 813, 988, 687, 780, 494
1. What is the LCM of 813, 988, 687, 780, 494?
Answer: LCM of 813, 988, 687, 780, 494 is 919714380.
2. How to calculate the LCM of 813, 988, 687, 780, 494?
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 813, 988, 687, 780, 494.
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}.