Find the LCM of 294, 263, 788, 826, 136 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, 263, 788, 826, 136. So, keep reading to learn more.
Given numbers are 294,263,788,826,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,263,788,826,136 is 61112525208.
Find LCM of 294,263,788,826,136 with Prime Factorization
2 | 294, 263, 788, 826, 136 |
2 | 147, 263, 394, 413, 68 |
7 | 147, 263, 197, 413, 34 |
21, 263, 197, 59, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 21 x 263 x 197 x 59 x 34 = 61112525208
Therefore, the lowest common multiple of 294,263,788,826,136 is 61112525208.
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 263 x 788 x 826 x 136 = 6844602823296
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
263 : 1, 263
788 : 1, 2, 4, 197, 394, 788
826 : 1, 2, 7, 14, 59, 118, 413, 826
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,263,788,826,136, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
263:263
788:2x 2x 197
826:2x 7x 59
136:2x 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 7 = 112
Therefore, the value for common factors is 112.
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 = 6844602823296/(1x112)
LCM = 6844602823296/112
LCM = 61112525208
Thus, we can understand that the LCM of 294,263,788,826,136 is 61112525208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 294, 263, 788, 826, 136?
Answer: LCM of 294, 263, 788, 826, 136 is 61112525208.
2. How to calculate the LCM of 294, 263, 788, 826, 136?
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, 263, 788, 826, 136.
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}.