LCM of 904, 717, 533, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 717, 533, 160 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, 717, 533, 160. So, keep reading to learn more.
Given numbers are 904,717,533,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,717,533,160 is 6909470880.
Find LCM of 904,717,533,160 with Prime Factorization
| 2 | 904, 717, 533, 160 |
| 2 | 452, 717, 533, 80 |
| 2 | 226, 717, 533, 40 |
| 113, 717, 533, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 717 x 533 x 20 = 6909470880
Therefore, the lowest common multiple of 904,717,533,160 is 6909470880.
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 717 x 533 x 160 = 55275767040
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
717 : 1, 3, 239, 717
533 : 1, 13, 41, 533
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,717,533,160, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
717:3x 239
533:13x 41
160:2x 2x 2x 2x 2x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 55275767040/(1x8)
LCM = 55275767040/8
LCM = 6909470880
Thus, we can understand that the LCM of 904,717,533,160 is 6909470880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 717, 533, 160
1. What is the LCM of 904, 717, 533, 160?
Answer: LCM of 904, 717, 533, 160 is 6909470880.
2. How to calculate the LCM of 904, 717, 533, 160?
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, 717, 533, 160.
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}.