Find the LCM of 356, 314, 418, 660, 828 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 356, 314, 418, 660, 828. So, keep reading to learn more.
Given numbers are 356,314,418,660,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,314,418,660,828 is 12090277980.
Find LCM of 356,314,418,660,828 with Prime Factorization
2 | 356, 314, 418, 660, 828 |
2 | 178, 157, 209, 330, 414 |
3 | 89, 157, 209, 165, 207 |
11 | 89, 157, 209, 55, 69 |
89, 157, 19, 5, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 89 x 157 x 19 x 5 x 69 = 12090277980
Therefore, the lowest common multiple of 356,314,418,660,828 is 12090277980.
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.
356 x 314 x 418 x 660 x 828 = 25534667093760
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.
356 : 1, 2, 4, 89, 178, 356
314 : 1, 2, 157, 314
418 : 1, 2, 11, 19, 22, 38, 209, 418
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,314,418,660,828, is 2.
Now, the common factors can be found like this.
356:2x 2x 89
314:2x 157
418:2x 11x 19
660:2x 2x 3x 5x 11
828:2x 2x 3x 3x 23
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 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 25534667093760/(2x1056)
LCM = 25534667093760/2112
LCM = 12090277980
Thus, we can understand that the LCM of 356,314,418,660,828 is 12090277980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 356, 314, 418, 660, 828?
Answer: LCM of 356, 314, 418, 660, 828 is 12090277980.
2. How to calculate the LCM of 356, 314, 418, 660, 828?
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 356, 314, 418, 660, 828.
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}.