Find the LCM of 796, 924, 286, 803, 544 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 796, 924, 286, 803, 544. So, keep reading to learn more.
Given numbers are 796,924,286,803,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,924,286,803,544 is 23731772064.
Find LCM of 796,924,286,803,544 with Prime Factorization
2 | 796, 924, 286, 803, 544 |
2 | 398, 462, 143, 803, 272 |
11 | 199, 231, 143, 803, 136 |
199, 21, 13, 73, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 199 x 21 x 13 x 73 x 136 = 23731772064
Therefore, the lowest common multiple of 796,924,286,803,544 is 23731772064.
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.
796 x 924 x 286 x 803 x 544 = 91889421431808
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.
796 : 1, 2, 4, 199, 398, 796
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
286 : 1, 2, 11, 13, 22, 26, 143, 286
803 : 1, 11, 73, 803
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,924,286,803,544, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
924:2x 2x 3x 7x 11
286:2x 11x 13
803:11x 73
544:2x 2x 2x 2x 2x 17
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 2x 11x 11 = 3872
Therefore, the value for common factors is 3872.
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 = 91889421431808/(1x3872)
LCM = 91889421431808/3872
LCM = 23731772064
Thus, we can understand that the LCM of 796,924,286,803,544 is 23731772064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 924, 286, 803, 544?
Answer: LCM of 796, 924, 286, 803, 544 is 23731772064.
2. How to calculate the LCM of 796, 924, 286, 803, 544?
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 796, 924, 286, 803, 544.
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}.