LCM of 468, 327, 992, 637, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 327, 992, 637, 713 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 468, 327, 992, 637, 713. So, keep reading to learn more.
Given numbers are 468,327,992,637,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,327,992,637,713 is 14257649952.
Find LCM of 468,327,992,637,713 with Prime Factorization
| 2 | 468, 327, 992, 637, 713 |
| 2 | 234, 327, 496, 637, 713 |
| 3 | 117, 327, 248, 637, 713 |
| 13 | 39, 109, 248, 637, 713 |
| 31 | 3, 109, 248, 49, 713 |
| 3, 109, 8, 49, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 31 x 3 x 109 x 8 x 49 x 23 = 14257649952
Therefore, the lowest common multiple of 468,327,992,637,713 is 14257649952.
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.
468 x 327 x 992 x 637 x 713 = 68949995167872
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
327 : 1, 3, 109, 327
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
637 : 1, 7, 13, 49, 91, 637
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,327,992,637,713, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
327:3x 109
992:2x 2x 2x 2x 2x 31
637:7x 7x 13
713:23x 31
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 3x 13x 31 = 4836
Therefore, the value for common factors is 4836.
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 = 68949995167872/(1x4836)
LCM = 68949995167872/4836
LCM = 14257649952
Thus, we can understand that the LCM of 468,327,992,637,713 is 14257649952.
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FAQs on LCM of 468, 327, 992, 637, 713
1. What is the LCM of 468, 327, 992, 637, 713?
Answer: LCM of 468, 327, 992, 637, 713 is 14257649952.
2. How to calculate the LCM of 468, 327, 992, 637, 713?
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 468, 327, 992, 637, 713.
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}.