LCM of 153, 639, 923, 930, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 639, 923, 930, 442 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 153, 639, 923, 930, 442. So, keep reading to learn more.
Given numbers are 153,639,923,930,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,639,923,930,442 is 43777890.
Find LCM of 153,639,923,930,442 with Prime Factorization
| 2 | 153, 639, 923, 930, 442 |
| 3 | 153, 639, 923, 465, 221 |
| 3 | 51, 213, 923, 155, 221 |
| 13 | 17, 71, 923, 155, 221 |
| 17 | 17, 71, 71, 155, 17 |
| 71 | 1, 71, 71, 155, 1 |
| 1, 1, 1, 155, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 71 x 1 x 1 x 1 x 155 x 1 = 43777890
Therefore, the lowest common multiple of 153,639,923,930,442 is 43777890.
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.
153 x 639 x 923 x 930 x 442 = 37093619087460
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.
153 : 1, 3, 9, 17, 51, 153
639 : 1, 3, 9, 71, 213, 639
923 : 1, 13, 71, 923
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,639,923,930,442, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
639:3x 3x 71
923:13x 71
930:2x 3x 5x 31
442:2x 13x 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 3x 3x 3x 13x 17x 71 = 847314
Therefore, the value for common factors is 847314.
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 = 37093619087460/(1x847314)
LCM = 37093619087460/847314
LCM = 43777890
Thus, we can understand that the LCM of 153,639,923,930,442 is 43777890.
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FAQs on LCM of 153, 639, 923, 930, 442
1. What is the LCM of 153, 639, 923, 930, 442?
Answer: LCM of 153, 639, 923, 930, 442 is 43777890.
2. How to calculate the LCM of 153, 639, 923, 930, 442?
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 153, 639, 923, 930, 442.
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}.