Find the LCM of 920, 324, 374, 357, 858 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 920, 324, 374, 357, 858. So, keep reading to learn more.
Given numbers are 920,324,374,357,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,324,374,357,858 is 1268106840.
Find LCM of 920,324,374,357,858 with Prime Factorization
2 | 920, 324, 374, 357, 858 |
2 | 460, 162, 187, 357, 429 |
3 | 230, 81, 187, 357, 429 |
11 | 230, 27, 187, 119, 143 |
17 | 230, 27, 17, 119, 13 |
230, 27, 1, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 230 x 27 x 1 x 7 x 13 = 1268106840
Therefore, the lowest common multiple of 920,324,374,357,858 is 1268106840.
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.
920 x 324 x 374 x 357 x 858 = 34147580987520
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
374 : 1, 2, 11, 17, 22, 34, 187, 374
357 : 1, 3, 7, 17, 21, 51, 119, 357
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,324,374,357,858, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
324:2x 2x 3x 3x 3x 3
374:2x 11x 17
357:3x 7x 17
858:2x 3x 11x 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 2x 2x 3x 3x 11x 17 = 26928
Therefore, the value for common factors is 26928.
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 = 34147580987520/(1x26928)
LCM = 34147580987520/26928
LCM = 1268106840
Thus, we can understand that the LCM of 920,324,374,357,858 is 1268106840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 324, 374, 357, 858?
Answer: LCM of 920, 324, 374, 357, 858 is 1268106840.
2. How to calculate the LCM of 920, 324, 374, 357, 858?
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 920, 324, 374, 357, 858.
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}.