LCM of 988, 414, 646, 323, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 414, 646, 323, 767 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 988, 414, 646, 323, 767. So, keep reading to learn more.
Given numbers are 988,414,646,323,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,414,646,323,767 is 205129548.
Find LCM of 988,414,646,323,767 with Prime Factorization
| 2 | 988, 414, 646, 323, 767 |
| 13 | 494, 207, 323, 323, 767 |
| 17 | 38, 207, 323, 323, 59 |
| 19 | 38, 207, 19, 19, 59 |
| 2, 207, 1, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 19 x 2 x 207 x 1 x 1 x 59 = 205129548
Therefore, the lowest common multiple of 988,414,646,323,767 is 205129548.
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.
988 x 414 x 646 x 323 x 767 = 65461761875952
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
646 : 1, 2, 17, 19, 34, 38, 323, 646
323 : 1, 17, 19, 323
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,414,646,323,767, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
414:2x 3x 3x 23
646:2x 17x 19
323:17x 19
767:13x 59
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 13x 17x 19x 19 = 319124
Therefore, the value for common factors is 319124.
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 = 65461761875952/(1x319124)
LCM = 65461761875952/319124
LCM = 205129548
Thus, we can understand that the LCM of 988,414,646,323,767 is 205129548.
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FAQs on LCM of 988, 414, 646, 323, 767
1. What is the LCM of 988, 414, 646, 323, 767?
Answer: LCM of 988, 414, 646, 323, 767 is 205129548.
2. How to calculate the LCM of 988, 414, 646, 323, 767?
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 988, 414, 646, 323, 767.
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}.