Find the LCM of 992, 353, 548, 987, 491 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 992, 353, 548, 987, 491. So, keep reading to learn more.
Given numbers are 992,353,548,987,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,353,548,987,491 is 23249070235104.
Find LCM of 992,353,548,987,491 with Prime Factorization
2 | 992, 353, 548, 987, 491 |
2 | 496, 353, 274, 987, 491 |
248, 353, 137, 987, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 248 x 353 x 137 x 987 x 491 = 23249070235104
Therefore, the lowest common multiple of 992,353,548,987,491 is 23249070235104.
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.
992 x 353 x 548 x 987 x 491 = 92996280940416
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
353 : 1, 353
548 : 1, 2, 4, 137, 274, 548
987 : 1, 3, 7, 21, 47, 141, 329, 987
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,353,548,987,491, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
353:353
548:2x 2x 137
987:3x 7x 47
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 92996280940416/(1x4)
LCM = 92996280940416/4
LCM = 23249070235104
Thus, we can understand that the LCM of 992,353,548,987,491 is 23249070235104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 992, 353, 548, 987, 491?
Answer: LCM of 992, 353, 548, 987, 491 is 23249070235104.
2. How to calculate the LCM of 992, 353, 548, 987, 491?
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 992, 353, 548, 987, 491.
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}.