LCM of 496, 649, 341, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 649, 341, 281 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, 649, 341, 281. So, keep reading to learn more.
Given numbers are 496,649,341,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,649,341,281 is 90455024.
Find LCM of 496,649,341,281 with Prime Factorization
| 11 | 496, 649, 341, 281 |
| 31 | 496, 59, 31, 281 |
| 16, 59, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 16 x 59 x 1 x 281 = 90455024
Therefore, the lowest common multiple of 496,649,341,281 is 90455024.
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 649 x 341 x 281 = 30845163184
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
649 : 1, 11, 59, 649
341 : 1, 11, 31, 341
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,649,341,281, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
649:11x 59
341:11x 31
281:281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 30845163184/(1x341)
LCM = 30845163184/341
LCM = 90455024
Thus, we can understand that the LCM of 496,649,341,281 is 90455024.
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FAQs on LCM of 496, 649, 341, 281
1. What is the LCM of 496, 649, 341, 281?
Answer: LCM of 496, 649, 341, 281 is 90455024.
2. How to calculate the LCM of 496, 649, 341, 281?
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, 649, 341, 281.
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}.