Find the LCM of 567, 506, 840, 321, 992 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 567, 506, 840, 321, 992. So, keep reading to learn more.
Given numbers are 567,506,840,321,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,506,840,321,992 is 76132314720.
Find LCM of 567,506,840,321,992 with Prime Factorization
2 | 567, 506, 840, 321, 992 |
2 | 567, 253, 420, 321, 496 |
2 | 567, 253, 210, 321, 248 |
3 | 567, 253, 105, 321, 124 |
7 | 189, 253, 35, 107, 124 |
27, 253, 5, 107, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 27 x 253 x 5 x 107 x 124 = 76132314720
Therefore, the lowest common multiple of 567,506,840,321,992 is 76132314720.
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.
567 x 506 x 840 x 321 x 992 = 76741373237760
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
506 : 1, 2, 11, 22, 23, 46, 253, 506
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
321 : 1, 3, 107, 321
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,506,840,321,992, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
506:2x 11x 23
840:2x 2x 2x 3x 5x 7
321:3x 107
992:2x 2x 2x 2x 2x 31
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 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 76741373237760/(1x1008)
LCM = 76741373237760/1008
LCM = 76132314720
Thus, we can understand that the LCM of 567,506,840,321,992 is 76132314720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 506, 840, 321, 992?
Answer: LCM of 567, 506, 840, 321, 992 is 76132314720.
2. How to calculate the LCM of 567, 506, 840, 321, 992?
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 567, 506, 840, 321, 992.
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}.