LCM of 491, 999, 477, 293, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 999, 477, 293, 384 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 491, 999, 477, 293, 384. So, keep reading to learn more.
Given numbers are 491,999,477,293,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,999,477,293,384 is 974990625408.
Find LCM of 491,999,477,293,384 with Prime Factorization
| 3 | 491, 999, 477, 293, 384 |
| 3 | 491, 333, 159, 293, 128 |
| 491, 111, 53, 293, 128 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 491 x 111 x 53 x 293 x 128 = 974990625408
Therefore, the lowest common multiple of 491,999,477,293,384 is 974990625408.
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.
491 x 999 x 477 x 293 x 384 = 26324746886016
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.
491 : 1, 491
999 : 1, 3, 9, 27, 37, 111, 333, 999
477 : 1, 3, 9, 53, 159, 477
293 : 1, 293
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,999,477,293,384, is 1.
Now, the common factors can be found like this.
491:491
999:3x 3x 3x 37
477:3x 3x 53
293:293
384:2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 26324746886016/(1x27)
LCM = 26324746886016/27
LCM = 974990625408
Thus, we can understand that the LCM of 491,999,477,293,384 is 974990625408.
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FAQs on LCM of 491, 999, 477, 293, 384
1. What is the LCM of 491, 999, 477, 293, 384?
Answer: LCM of 491, 999, 477, 293, 384 is 974990625408.
2. How to calculate the LCM of 491, 999, 477, 293, 384?
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 491, 999, 477, 293, 384.
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}.