Find the LCM of 7, 260, 565, 364 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 7, 260, 565, 364. So, keep reading to learn more.
Given numbers are 7,260,565,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7,260,565,364 is 205660.
Find LCM of 7,260,565,364 with Prime Factorization
2 | 7, 260, 565, 364 |
2 | 7, 130, 565, 182 |
5 | 7, 65, 565, 91 |
7 | 7, 13, 113, 91 |
13 | 1, 13, 113, 13 |
1, 1, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 1 x 1 x 113 x 1 = 205660
Therefore, the lowest common multiple of 7,260,565,364 is 205660.
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.
7 x 260 x 565 x 364 = 374301200
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.
7 : 1, 7
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
565 : 1, 5, 113, 565
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,260,565,364, is 1.
Now, the common factors can be found like this.
7:7
260:2x 2x 5x 13
565:5x 113
364:2x 2x 7x 13
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 5x 7x 13 = 1820
Therefore, the value for common factors is 1820.
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 = 374301200/(1x1820)
LCM = 374301200/1820
LCM = 205660
Thus, we can understand that the LCM of 7,260,565,364 is 205660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 7, 260, 565, 364?
Answer: LCM of 7, 260, 565, 364 is 205660.
2. How to calculate the LCM of 7, 260, 565, 364?
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 7, 260, 565, 364.
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}.