Find the LCM of 265, 329, 735, 316, 474 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 265, 329, 735, 316, 474. So, keep reading to learn more.
Given numbers are 265,329,735,316,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,329,735,316,474 is 578559660.
Find LCM of 265,329,735,316,474 with Prime Factorization
2 | 265, 329, 735, 316, 474 |
3 | 265, 329, 735, 158, 237 |
5 | 265, 329, 245, 158, 79 |
7 | 53, 329, 49, 158, 79 |
79 | 53, 47, 7, 158, 79 |
53, 47, 7, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 79 x 53 x 47 x 7 x 2 x 1 = 578559660
Therefore, the lowest common multiple of 265,329,735,316,474 is 578559660.
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.
265 x 329 x 735 x 316 x 474 = 9598304759400
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.
265 : 1, 5, 53, 265
329 : 1, 7, 47, 329
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
316 : 1, 2, 4, 79, 158, 316
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,329,735,316,474, is 1.
Now, the common factors can be found like this.
265:5x 53
329:7x 47
735:3x 5x 7x 7
316:2x 2x 79
474:2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 79 = 16590
Therefore, the value for common factors is 16590.
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 = 9598304759400/(1x16590)
LCM = 9598304759400/16590
LCM = 578559660
Thus, we can understand that the LCM of 265,329,735,316,474 is 578559660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 265, 329, 735, 316, 474?
Answer: LCM of 265, 329, 735, 316, 474 is 578559660.
2. How to calculate the LCM of 265, 329, 735, 316, 474?
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 265, 329, 735, 316, 474.
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}.