LCM of 105, 320, 544, 942, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 320, 544, 942, 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 105, 320, 544, 942, 288. So, keep reading to learn more.
Given numbers are 105,320,544,942,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,320,544,942,288 is 53807040.
Find LCM of 105,320,544,942,288 with Prime Factorization
| 2 | 105, 320, 544, 942, 288 |
| 2 | 105, 160, 272, 471, 144 |
| 2 | 105, 80, 136, 471, 72 |
| 2 | 105, 40, 68, 471, 36 |
| 2 | 105, 20, 34, 471, 18 |
| 3 | 105, 10, 17, 471, 9 |
| 5 | 35, 10, 17, 157, 3 |
| 7, 2, 17, 157, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 2 x 17 x 157 x 3 = 53807040
Therefore, the lowest common multiple of 105,320,544,942,288 is 53807040.
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.
105 x 320 x 544 x 942 x 288 = 4958856806400
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
942 : 1, 2, 3, 6, 157, 314, 471, 942
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 105,320,544,942,288, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
320:2x 2x 2x 2x 2x 2x 5
544:2x 2x 2x 2x 2x 17
942:2x 3x 157
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 2x 2x 2x 3x 3x 5 = 92160
Therefore, the value for common factors is 92160.
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 = 4958856806400/(1x92160)
LCM = 4958856806400/92160
LCM = 53807040
Thus, we can understand that the LCM of 105,320,544,942,288 is 53807040.
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FAQs on LCM of 105, 320, 544, 942, 288
1. What is the LCM of 105, 320, 544, 942, 288?
Answer: LCM of 105, 320, 544, 942, 288 is 53807040.
2. How to calculate the LCM of 105, 320, 544, 942, 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 105, 320, 544, 942, 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}.