LCM of 949, 153, 432, 884, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 153, 432, 884, 240 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 949, 153, 432, 884, 240. So, keep reading to learn more.
Given numbers are 949,153,432,884,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,153,432,884,240 is 34847280.
Find LCM of 949,153,432,884,240 with Prime Factorization
| 2 | 949, 153, 432, 884, 240 |
| 2 | 949, 153, 216, 442, 120 |
| 2 | 949, 153, 108, 221, 60 |
| 2 | 949, 153, 54, 221, 30 |
| 3 | 949, 153, 27, 221, 15 |
| 3 | 949, 51, 9, 221, 5 |
| 13 | 949, 17, 3, 221, 5 |
| 17 | 73, 17, 3, 17, 5 |
| 73, 1, 3, 1, 5 |
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 17 x 73 x 1 x 3 x 1 x 5 = 34847280
Therefore, the lowest common multiple of 949,153,432,884,240 is 34847280.
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.
949 x 153 x 432 x 884 x 240 = 13307758064640
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.
949 : 1, 13, 73, 949
153 : 1, 3, 9, 17, 51, 153
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,153,432,884,240, is 1.
Now, the common factors can be found like this.
949:13x 73
153:3x 3x 17
432:2x 2x 2x 2x 3x 3x 3
884:2x 2x 13x 17
240:2x 2x 2x 2x 3x 5
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 3x 3x 3x 13x 17 = 381888
Therefore, the value for common factors is 381888.
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 = 13307758064640/(1x381888)
LCM = 13307758064640/381888
LCM = 34847280
Thus, we can understand that the LCM of 949,153,432,884,240 is 34847280.
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FAQs on LCM of 949, 153, 432, 884, 240
1. What is the LCM of 949, 153, 432, 884, 240?
Answer: LCM of 949, 153, 432, 884, 240 is 34847280.
2. How to calculate the LCM of 949, 153, 432, 884, 240?
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 949, 153, 432, 884, 240.
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}.