Find the LCM of 923, 822, 364, 853, 377 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 923, 822, 364, 853, 377. So, keep reading to learn more.
Given numbers are 923,822,364,853,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,822,364,853,377 is 262753544508.
Find LCM of 923,822,364,853,377 with Prime Factorization
2 | 923, 822, 364, 853, 377 |
13 | 923, 411, 182, 853, 377 |
71, 411, 14, 853, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 411 x 14 x 853 x 29 = 262753544508
Therefore, the lowest common multiple of 923,822,364,853,377 is 262753544508.
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.
923 x 822 x 364 x 853 x 377 = 88810698043704
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.
923 : 1, 13, 71, 923
822 : 1, 2, 3, 6, 137, 274, 411, 822
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
853 : 1, 853
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,822,364,853,377, is 1.
Now, the common factors can be found like this.
923:13x 71
822:2x 3x 137
364:2x 2x 7x 13
853:853
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 88810698043704/(1x338)
LCM = 88810698043704/338
LCM = 262753544508
Thus, we can understand that the LCM of 923,822,364,853,377 is 262753544508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 822, 364, 853, 377?
Answer: LCM of 923, 822, 364, 853, 377 is 262753544508.
2. How to calculate the LCM of 923, 822, 364, 853, 377?
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 923, 822, 364, 853, 377.
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}.