Find the LCM of 660, 812, 473, 924, 928 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 660, 812, 473, 924, 928. So, keep reading to learn more.
Given numbers are 660,812,473,924,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,812,473,924,928 is 46089120.
Find LCM of 660,812,473,924,928 with Prime Factorization
2 | 660, 812, 473, 924, 928 |
2 | 330, 406, 473, 462, 464 |
3 | 165, 203, 473, 231, 232 |
7 | 55, 203, 473, 77, 232 |
11 | 55, 29, 473, 11, 232 |
29 | 5, 29, 43, 1, 232 |
5, 1, 43, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 29 x 5 x 1 x 43 x 1 x 8 = 46089120
Therefore, the lowest common multiple of 660,812,473,924,928 is 46089120.
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.
660 x 812 x 473 x 924 x 928 = 217360714475520
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.
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
473 : 1, 11, 43, 473
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,812,473,924,928, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
812:2x 2x 7x 29
473:11x 43
924:2x 2x 3x 7x 11
928:2x 2x 2x 2x 2x 29
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 3x 7x 11x 11x 29 = 4716096
Therefore, the value for common factors is 4716096.
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 = 217360714475520/(1x4716096)
LCM = 217360714475520/4716096
LCM = 46089120
Thus, we can understand that the LCM of 660,812,473,924,928 is 46089120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 660, 812, 473, 924, 928?
Answer: LCM of 660, 812, 473, 924, 928 is 46089120.
2. How to calculate the LCM of 660, 812, 473, 924, 928?
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 660, 812, 473, 924, 928.
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}.