Find the LCM of 294, 384, 802, 858, 774 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 294, 384, 802, 858, 774. So, keep reading to learn more.
Given numbers are 294,384,802,858,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,384,802,858,774 is 139186599552.
Find LCM of 294,384,802,858,774 with Prime Factorization
2 | 294, 384, 802, 858, 774 |
3 | 147, 192, 401, 429, 387 |
49, 64, 401, 143, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 49 x 64 x 401 x 143 x 129 = 139186599552
Therefore, the lowest common multiple of 294,384,802,858,774 is 139186599552.
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.
294 x 384 x 802 x 858 x 774 = 60128611006464
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
802 : 1, 2, 401, 802
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,384,802,858,774, is 2.
Now, the common factors can be found like this.
294:2x 3x 7x 7
384:2x 2x 2x 2x 2x 2x 2x 3
802:2x 401
858:2x 3x 11x 13
774:2x 3x 3x 43
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 60128611006464/(2x216)
LCM = 60128611006464/432
LCM = 139186599552
Thus, we can understand that the LCM of 294,384,802,858,774 is 139186599552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 294, 384, 802, 858, 774?
Answer: LCM of 294, 384, 802, 858, 774 is 139186599552.
2. How to calculate the LCM of 294, 384, 802, 858, 774?
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 294, 384, 802, 858, 774.
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}.