Find the LCM of 967, 562, 998, 672, 499 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 967, 562, 998, 672, 499. So, keep reading to learn more.
Given numbers are 967,562,998,672,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,562,998,672,499 is 91117671456.
Find LCM of 967,562,998,672,499 with Prime Factorization
2 | 967, 562, 998, 672, 499 |
499 | 967, 281, 499, 336, 499 |
967, 281, 1, 336, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 967 x 281 x 1 x 336 x 1 = 91117671456
Therefore, the lowest common multiple of 967,562,998,672,499 is 91117671456.
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.
967 x 562 x 998 x 672 x 499 = 181870872226176
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.
967 : 1, 967
562 : 1, 2, 281, 562
998 : 1, 2, 499, 998
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,562,998,672,499, is 1.
Now, the common factors can be found like this.
967:967
562:2x 281
998:2x 499
672:2x 2x 2x 2x 2x 3x 7
499:499
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 499 = 1996
Therefore, the value for common factors is 1996.
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 = 181870872226176/(1x1996)
LCM = 181870872226176/1996
LCM = 91117671456
Thus, we can understand that the LCM of 967,562,998,672,499 is 91117671456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 562, 998, 672, 499?
Answer: LCM of 967, 562, 998, 672, 499 is 91117671456.
2. How to calculate the LCM of 967, 562, 998, 672, 499?
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 967, 562, 998, 672, 499.
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}.