LCM of 496, 635, 341, 720, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 635, 341, 720, 327 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 496, 635, 341, 720, 327. So, keep reading to learn more.
Given numbers are 496,635,341,720,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,635,341,720,327 is 3398733360.
Find LCM of 496,635,341,720,327 with Prime Factorization
| 2 | 496, 635, 341, 720, 327 |
| 2 | 248, 635, 341, 360, 327 |
| 2 | 124, 635, 341, 180, 327 |
| 2 | 62, 635, 341, 90, 327 |
| 3 | 31, 635, 341, 45, 327 |
| 5 | 31, 635, 341, 15, 109 |
| 31 | 31, 127, 341, 3, 109 |
| 1, 127, 11, 3, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 31 x 1 x 127 x 11 x 3 x 109 = 3398733360
Therefore, the lowest common multiple of 496,635,341,720,327 is 3398733360.
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.
496 x 635 x 341 x 720 x 327 = 25286576198400
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
635 : 1, 5, 127, 635
341 : 1, 11, 31, 341
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,635,341,720,327, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
635:5x 127
341:11x 31
720:2x 2x 2x 2x 3x 3x 5
327:3x 109
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 3x 5x 31 = 7440
Therefore, the value for common factors is 7440.
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 = 25286576198400/(1x7440)
LCM = 25286576198400/7440
LCM = 3398733360
Thus, we can understand that the LCM of 496,635,341,720,327 is 3398733360.
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FAQs on LCM of 496, 635, 341, 720, 327
1. What is the LCM of 496, 635, 341, 720, 327?
Answer: LCM of 496, 635, 341, 720, 327 is 3398733360.
2. How to calculate the LCM of 496, 635, 341, 720, 327?
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 496, 635, 341, 720, 327.
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}.