LCM of 234, 359, 560, 856, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 359, 560, 856, 288 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 234, 359, 560, 856, 288. So, keep reading to learn more.
Given numbers are 234,359,560,856,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,359,560,856,288 is 5033639520.
Find LCM of 234,359,560,856,288 with Prime Factorization
| 2 | 234, 359, 560, 856, 288 |
| 2 | 117, 359, 280, 428, 144 |
| 2 | 117, 359, 140, 214, 72 |
| 2 | 117, 359, 70, 107, 36 |
| 3 | 117, 359, 35, 107, 18 |
| 3 | 39, 359, 35, 107, 6 |
| 13, 359, 35, 107, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 13 x 359 x 35 x 107 x 2 = 5033639520
Therefore, the lowest common multiple of 234,359,560,856,288 is 5033639520.
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.
234 x 359 x 560 x 856 x 288 = 11597505454080
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
359 : 1, 359
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
856 : 1, 2, 4, 8, 107, 214, 428, 856
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,359,560,856,288, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
359:359
560:2x 2x 2x 2x 5x 7
856:2x 2x 2x 107
288:2x 2x 2x 2x 2x 3x 3
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 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 11597505454080/(1x2304)
LCM = 11597505454080/2304
LCM = 5033639520
Thus, we can understand that the LCM of 234,359,560,856,288 is 5033639520.
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FAQs on LCM of 234, 359, 560, 856, 288
1. What is the LCM of 234, 359, 560, 856, 288?
Answer: LCM of 234, 359, 560, 856, 288 is 5033639520.
2. How to calculate the LCM of 234, 359, 560, 856, 288?
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 234, 359, 560, 856, 288.
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}.