LCM of 948, 285, 350, 803, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 285, 350, 803, 231 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 948, 285, 350, 803, 231. So, keep reading to learn more.
Given numbers are 948,285,350,803,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,285,350,803,231 is 2531136300.
Find LCM of 948,285,350,803,231 with Prime Factorization
| 2 | 948, 285, 350, 803, 231 |
| 3 | 474, 285, 175, 803, 231 |
| 5 | 158, 95, 175, 803, 77 |
| 7 | 158, 19, 35, 803, 77 |
| 11 | 158, 19, 5, 803, 11 |
| 158, 19, 5, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 158 x 19 x 5 x 73 x 1 = 2531136300
Therefore, the lowest common multiple of 948,285,350,803,231 is 2531136300.
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.
948 x 285 x 350 x 803 x 231 = 17540774559000
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
285 : 1, 3, 5, 15, 19, 57, 95, 285
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
803 : 1, 11, 73, 803
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,285,350,803,231, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
285:3x 5x 19
350:2x 5x 5x 7
803:11x 73
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7x 11 = 6930
Therefore, the value for common factors is 6930.
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 = 17540774559000/(1x6930)
LCM = 17540774559000/6930
LCM = 2531136300
Thus, we can understand that the LCM of 948,285,350,803,231 is 2531136300.
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FAQs on LCM of 948, 285, 350, 803, 231
1. What is the LCM of 948, 285, 350, 803, 231?
Answer: LCM of 948, 285, 350, 803, 231 is 2531136300.
2. How to calculate the LCM of 948, 285, 350, 803, 231?
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 948, 285, 350, 803, 231.
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}.