Find the LCM of 442, 728, 994, 804, 470 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 442, 728, 994, 804, 470. So, keep reading to learn more.
Given numbers are 442,728,994,804,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,728,994,804,470 is 41505205560.
Find LCM of 442,728,994,804,470 with Prime Factorization
2 | 442, 728, 994, 804, 470 |
2 | 221, 364, 497, 402, 235 |
7 | 221, 182, 497, 201, 235 |
13 | 221, 26, 71, 201, 235 |
17, 2, 71, 201, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 17 x 2 x 71 x 201 x 235 = 41505205560
Therefore, the lowest common multiple of 442,728,994,804,470 is 41505205560.
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.
442 x 728 x 994 x 804 x 470 = 120863158590720
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
994 : 1, 2, 7, 14, 71, 142, 497, 994
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
470 : 1, 2, 5, 10, 47, 94, 235, 470
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,728,994,804,470, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
728:2x 2x 2x 7x 13
994:2x 7x 71
804:2x 2x 3x 67
470:2x 5x 47
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 7x 13 = 1456
Therefore, the value for common factors is 1456.
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 = 120863158590720/(2x1456)
LCM = 120863158590720/2912
LCM = 41505205560
Thus, we can understand that the LCM of 442,728,994,804,470 is 41505205560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 728, 994, 804, 470?
Answer: LCM of 442, 728, 994, 804, 470 is 41505205560.
2. How to calculate the LCM of 442, 728, 994, 804, 470?
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 442, 728, 994, 804, 470.
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}.