LCM of 848, 288, 655, 928, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 288, 655, 928, 534 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 848, 288, 655, 928, 534. So, keep reading to learn more.
Given numbers are 848,288,655,928,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,288,655,928,534 is 25804631520.
Find LCM of 848,288,655,928,534 with Prime Factorization
| 2 | 848, 288, 655, 928, 534 |
| 2 | 424, 144, 655, 464, 267 |
| 2 | 212, 72, 655, 232, 267 |
| 2 | 106, 36, 655, 116, 267 |
| 2 | 53, 18, 655, 58, 267 |
| 3 | 53, 9, 655, 29, 267 |
| 53, 3, 655, 29, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 53 x 3 x 655 x 29 x 89 = 25804631520
Therefore, the lowest common multiple of 848,288,655,928,534 is 25804631520.
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.
848 x 288 x 655 x 928 x 534 = 79271828029440
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
655 : 1, 5, 131, 655
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,288,655,928,534, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
288:2x 2x 2x 2x 2x 3x 3
655:5x 131
928:2x 2x 2x 2x 2x 29
534:2x 3x 89
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 2x 3 = 3072
Therefore, the value for common factors is 3072.
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 = 79271828029440/(1x3072)
LCM = 79271828029440/3072
LCM = 25804631520
Thus, we can understand that the LCM of 848,288,655,928,534 is 25804631520.
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FAQs on LCM of 848, 288, 655, 928, 534
1. What is the LCM of 848, 288, 655, 928, 534?
Answer: LCM of 848, 288, 655, 928, 534 is 25804631520.
2. How to calculate the LCM of 848, 288, 655, 928, 534?
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 848, 288, 655, 928, 534.
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}.