LCM of 491, 976, 507, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 976, 507, 963 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, 976, 507, 963. So, keep reading to learn more.
Given numbers are 491,976,507,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,976,507,963 is 77990966352.
Find LCM of 491,976,507,963 with Prime Factorization
| 3 | 491, 976, 507, 963 |
| 491, 976, 169, 321 |
Multiply the prime numbers at the bottom and the left side.
3 x 491 x 976 x 169 x 321 = 77990966352
Therefore, the lowest common multiple of 491,976,507,963 is 77990966352.
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 976 x 507 x 963 = 233972899056
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
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
507 : 1, 3, 13, 39, 169, 507
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,976,507,963, is 1.
Now, the common factors can be found like this.
491:491
976:2x 2x 2x 2x 61
507:3x 13x 13
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 233972899056/(1x3)
LCM = 233972899056/3
LCM = 77990966352
Thus, we can understand that the LCM of 491,976,507,963 is 77990966352.
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FAQs on LCM of 491, 976, 507, 963
1. What is the LCM of 491, 976, 507, 963?
Answer: LCM of 491, 976, 507, 963 is 77990966352.
2. How to calculate the LCM of 491, 976, 507, 963?
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, 976, 507, 963.
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}.