LCM of 534, 397, 856, 976, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 397, 856, 976, 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 534, 397, 856, 976, 480. So, keep reading to learn more.
Given numbers are 534,397,856,976,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,397,856,976,480 is 110696875680.
Find LCM of 534,397,856,976,480 with Prime Factorization
| 2 | 534, 397, 856, 976, 480 |
| 2 | 267, 397, 428, 488, 240 |
| 2 | 267, 397, 214, 244, 120 |
| 2 | 267, 397, 107, 122, 60 |
| 3 | 267, 397, 107, 61, 30 |
| 89, 397, 107, 61, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 89 x 397 x 107 x 61 x 10 = 110696875680
Therefore, the lowest common multiple of 534,397,856,976,480 is 110696875680.
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.
534 x 397 x 856 x 976 x 480 = 85015200522240
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
397 : 1, 397
856 : 1, 2, 4, 8, 107, 214, 428, 856
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,397,856,976,480, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
397:397
856:2x 2x 2x 107
976:2x 2x 2x 2x 61
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 3 = 768
Therefore, the value for common factors is 768.
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 = 85015200522240/(1x768)
LCM = 85015200522240/768
LCM = 110696875680
Thus, we can understand that the LCM of 534,397,856,976,480 is 110696875680.
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FAQs on LCM of 534, 397, 856, 976, 480
1. What is the LCM of 534, 397, 856, 976, 480?
Answer: LCM of 534, 397, 856, 976, 480 is 110696875680.
2. How to calculate the LCM of 534, 397, 856, 976, 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 534, 397, 856, 976, 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}.