Find the LCM of 293, 146, 103, 713, 274 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 293, 146, 103, 713, 274. So, keep reading to learn more.
Given numbers are 293,146,103,713,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,146,103,713,274 is 430395575254.
Find LCM of 293,146,103,713,274 with Prime Factorization
2 | 293, 146, 103, 713, 274 |
293, 73, 103, 713, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 293 x 73 x 103 x 713 x 137 = 430395575254
Therefore, the lowest common multiple of 293,146,103,713,274 is 430395575254.
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.
293 x 146 x 103 x 713 x 274 = 860791150508
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.
293 : 1, 293
146 : 1, 2, 73, 146
103 : 1, 103
713 : 1, 23, 31, 713
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,146,103,713,274, is 1.
Now, the common factors can be found like this.
293:293
146:2x 73
103:103
713:23x 31
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 860791150508/(1x2)
LCM = 860791150508/2
LCM = 430395575254
Thus, we can understand that the LCM of 293,146,103,713,274 is 430395575254.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 293, 146, 103, 713, 274?
Answer: LCM of 293, 146, 103, 713, 274 is 430395575254.
2. How to calculate the LCM of 293, 146, 103, 713, 274?
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 293, 146, 103, 713, 274.
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}.