Find the LCM of 358, 368, 880, 785, 462 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, 368, 880, 785, 462. So, keep reading to learn more.
Given numbers are 358,368,880,785,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,368,880,785,462 is 11944899120.
Find LCM of 358,368,880,785,462 with Prime Factorization
2 | 358, 368, 880, 785, 462 |
2 | 179, 184, 440, 785, 231 |
2 | 179, 92, 220, 785, 231 |
2 | 179, 46, 110, 785, 231 |
5 | 179, 23, 55, 785, 231 |
11 | 179, 23, 11, 157, 231 |
179, 23, 1, 157, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 179 x 23 x 1 x 157 x 21 = 11944899120
Therefore, the lowest common multiple of 358,368,880,785,462 is 11944899120.
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 368 x 880 x 785 x 462 = 42046044902400
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
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
785 : 1, 5, 157, 785
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,368,880,785,462, is 1.
Now, the common factors can be found like this.
358:2x 179
368:2x 2x 2x 2x 23
880:2x 2x 2x 2x 5x 11
785:5x 157
462:2x 3x 7x 11
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 2x 2x 5x 11 = 3520
Therefore, the value for common factors is 3520.
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 = 42046044902400/(1x3520)
LCM = 42046044902400/3520
LCM = 11944899120
Thus, we can understand that the LCM of 358,368,880,785,462 is 11944899120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 368, 880, 785, 462?
Answer: LCM of 358, 368, 880, 785, 462 is 11944899120.
2. How to calculate the LCM of 358, 368, 880, 785, 462?
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, 368, 880, 785, 462.
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}.