LCM of 904, 528, 868, 124, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 528, 868, 124, 480 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 904, 528, 868, 124, 480. So, keep reading to learn more.
Given numbers are 904,528,868,124,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,528,868,124,480 is 129470880.
Find LCM of 904,528,868,124,480 with Prime Factorization
| 2 | 904, 528, 868, 124, 480 |
| 2 | 452, 264, 434, 62, 240 |
| 2 | 226, 132, 217, 31, 120 |
| 2 | 113, 66, 217, 31, 60 |
| 3 | 113, 33, 217, 31, 30 |
| 31 | 113, 11, 217, 31, 10 |
| 113, 11, 7, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 31 x 113 x 11 x 7 x 1 x 10 = 129470880
Therefore, the lowest common multiple of 904,528,868,124,480 is 129470880.
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.
904 x 528 x 868 x 124 x 480 = 24659541688320
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
124 : 1, 2, 4, 31, 62, 124
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,528,868,124,480, is 4.
Now, the common factors can be found like this.
904:2x 2x 2x 113
528:2x 2x 2x 2x 3x 11
868:2x 2x 7x 31
124:2x 2x 31
480:2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 3x 31 = 47616
Therefore, the value for common factors is 47616.
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 = 24659541688320/(4x47616)
LCM = 24659541688320/190464
LCM = 129470880
Thus, we can understand that the LCM of 904,528,868,124,480 is 129470880.
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FAQs on LCM of 904, 528, 868, 124, 480
1. What is the LCM of 904, 528, 868, 124, 480?
Answer: LCM of 904, 528, 868, 124, 480 is 129470880.
2. How to calculate the LCM of 904, 528, 868, 124, 480?
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 904, 528, 868, 124, 480.
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}.