Find the LCM of 358, 247, 962, 195, 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 358, 247, 962, 195, 364. So, keep reading to learn more.
Given numbers are 358,247,962,195,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,247,962,195,364 is 687070020.
Find LCM of 358,247,962,195,364 with Prime Factorization
2 | 358, 247, 962, 195, 364 |
13 | 179, 247, 481, 195, 182 |
179, 19, 37, 15, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 179 x 19 x 37 x 15 x 14 = 687070020
Therefore, the lowest common multiple of 358,247,962,195,364 is 687070020.
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.
358 x 247 x 962 x 195 x 364 = 6037971335760
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.
358 : 1, 2, 179, 358
247 : 1, 13, 19, 247
962 : 1, 2, 13, 26, 37, 74, 481, 962
195 : 1, 3, 5, 13, 15, 39, 65, 195
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 358,247,962,195,364, is 1.
Now, the common factors can be found like this.
358:2x 179
247:13x 19
962:2x 13x 37
195:3x 5x 13
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 13x 13x 13 = 8788
Therefore, the value for common factors is 8788.
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 = 6037971335760/(1x8788)
LCM = 6037971335760/8788
LCM = 687070020
Thus, we can understand that the LCM of 358,247,962,195,364 is 687070020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 247, 962, 195, 364?
Answer: LCM of 358, 247, 962, 195, 364 is 687070020.
2. How to calculate the LCM of 358, 247, 962, 195, 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 358, 247, 962, 195, 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}.