LCM of 285, 476, 220, 985, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 476, 220, 985, 945 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 285, 476, 220, 985, 945. So, keep reading to learn more.
Given numbers are 285,476,220,985,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,476,220,985,945 is 2645776980.
Find LCM of 285,476,220,985,945 with Prime Factorization
| 2 | 285, 476, 220, 985, 945 |
| 2 | 285, 238, 110, 985, 945 |
| 3 | 285, 119, 55, 985, 945 |
| 5 | 95, 119, 55, 985, 315 |
| 7 | 19, 119, 11, 197, 63 |
| 19, 17, 11, 197, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 17 x 11 x 197 x 9 = 2645776980
Therefore, the lowest common multiple of 285,476,220,985,945 is 2645776980.
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.
285 x 476 x 220 x 985 x 945 = 27780658290000
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
985 : 1, 5, 197, 985
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,476,220,985,945, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
476:2x 2x 7x 17
220:2x 2x 5x 11
985:5x 197
945:3x 3x 3x 5x 7
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 3x 5x 5x 5x 7 = 10500
Therefore, the value for common factors is 10500.
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 = 27780658290000/(1x10500)
LCM = 27780658290000/10500
LCM = 2645776980
Thus, we can understand that the LCM of 285,476,220,985,945 is 2645776980.
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FAQs on LCM of 285, 476, 220, 985, 945
1. What is the LCM of 285, 476, 220, 985, 945?
Answer: LCM of 285, 476, 220, 985, 945 is 2645776980.
2. How to calculate the LCM of 285, 476, 220, 985, 945?
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 285, 476, 220, 985, 945.
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}.