Find the LCM of 253, 992, 820, 953, 822 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 253, 992, 820, 953, 822. So, keep reading to learn more.
Given numbers are 253,992,820,953,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,992,820,953,822 is 20152121684640.
Find LCM of 253,992,820,953,822 with Prime Factorization
2 | 253, 992, 820, 953, 822 |
2 | 253, 496, 410, 953, 411 |
253, 248, 205, 953, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 253 x 248 x 205 x 953 x 411 = 20152121684640
Therefore, the lowest common multiple of 253,992,820,953,822 is 20152121684640.
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.
253 x 992 x 820 x 953 x 822 = 161216973477120
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.
253 : 1, 11, 23, 253
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
953 : 1, 953
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,992,820,953,822, is 1.
Now, the common factors can be found like this.
253:11x 23
992:2x 2x 2x 2x 2x 31
820:2x 2x 5x 41
953:953
822:2x 3x 137
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 2 = 8
Therefore, the value for common factors is 8.
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 = 161216973477120/(1x8)
LCM = 161216973477120/8
LCM = 20152121684640
Thus, we can understand that the LCM of 253,992,820,953,822 is 20152121684640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 992, 820, 953, 822?
Answer: LCM of 253, 992, 820, 953, 822 is 20152121684640.
2. How to calculate the LCM of 253, 992, 820, 953, 822?
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 253, 992, 820, 953, 822.
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}.