LCM of 383, 644, 702, 881, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 644, 702, 881, 161 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 383, 644, 702, 881, 161. So, keep reading to learn more.
Given numbers are 383,644,702,881,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,644,702,881,161 is 76272444612.
Find LCM of 383,644,702,881,161 with Prime Factorization
| 2 | 383, 644, 702, 881, 161 |
| 7 | 383, 322, 351, 881, 161 |
| 23 | 383, 46, 351, 881, 23 |
| 383, 2, 351, 881, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 383 x 2 x 351 x 881 x 1 = 76272444612
Therefore, the lowest common multiple of 383,644,702,881,161 is 76272444612.
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.
383 x 644 x 702 x 881 x 161 = 24559727165064
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.
383 : 1, 383
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
881 : 1, 881
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,644,702,881,161, is 1.
Now, the common factors can be found like this.
383:383
644:2x 2x 7x 23
702:2x 3x 3x 3x 13
881:881
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 24559727165064/(1x322)
LCM = 24559727165064/322
LCM = 76272444612
Thus, we can understand that the LCM of 383,644,702,881,161 is 76272444612.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 383, 644, 702, 881, 161
1. What is the LCM of 383, 644, 702, 881, 161?
Answer: LCM of 383, 644, 702, 881, 161 is 76272444612.
2. How to calculate the LCM of 383, 644, 702, 881, 161?
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 383, 644, 702, 881, 161.
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}.