LCM of 907, 482, 481, 442, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 482, 481, 442, 153 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 907, 482, 481, 442, 153. So, keep reading to learn more.
Given numbers are 907,482,481,442,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,482,481,442,153 is 32172946182.
Find LCM of 907,482,481,442,153 with Prime Factorization
| 2 | 907, 482, 481, 442, 153 |
| 13 | 907, 241, 481, 221, 153 |
| 17 | 907, 241, 37, 17, 153 |
| 907, 241, 37, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 907 x 241 x 37 x 1 x 9 = 32172946182
Therefore, the lowest common multiple of 907,482,481,442,153 is 32172946182.
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.
907 x 482 x 481 x 442 x 153 = 14220442212444
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.
907 : 1, 907
482 : 1, 2, 241, 482
481 : 1, 13, 37, 481
442 : 1, 2, 13, 17, 26, 34, 221, 442
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,482,481,442,153, is 1.
Now, the common factors can be found like this.
907:907
482:2x 241
481:13x 37
442:2x 13x 17
153:3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 14220442212444/(1x442)
LCM = 14220442212444/442
LCM = 32172946182
Thus, we can understand that the LCM of 907,482,481,442,153 is 32172946182.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 907, 482, 481, 442, 153
1. What is the LCM of 907, 482, 481, 442, 153?
Answer: LCM of 907, 482, 481, 442, 153 is 32172946182.
2. How to calculate the LCM of 907, 482, 481, 442, 153?
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 907, 482, 481, 442, 153.
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}.