LCM of 292, 903, 643, 642, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 903, 643, 642, 129 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 292, 903, 643, 642, 129. So, keep reading to learn more.
Given numbers are 292,903,643,642,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,903,643,642,129 is 18141172476.
Find LCM of 292,903,643,642,129 with Prime Factorization
| 2 | 292, 903, 643, 642, 129 |
| 3 | 146, 903, 643, 321, 129 |
| 43 | 146, 301, 643, 107, 43 |
| 146, 7, 643, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 146 x 7 x 643 x 107 x 1 = 18141172476
Therefore, the lowest common multiple of 292,903,643,642,129 is 18141172476.
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.
292 x 903 x 643 x 642 x 129 = 14041267496424
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.
292 : 1, 2, 4, 73, 146, 292
903 : 1, 3, 7, 21, 43, 129, 301, 903
643 : 1, 643
642 : 1, 2, 3, 6, 107, 214, 321, 642
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,903,643,642,129, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
903:3x 7x 43
643:643
642:2x 3x 107
129:3x 43
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 43 = 774
Therefore, the value for common factors is 774.
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 = 14041267496424/(1x774)
LCM = 14041267496424/774
LCM = 18141172476
Thus, we can understand that the LCM of 292,903,643,642,129 is 18141172476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 903, 643, 642, 129
1. What is the LCM of 292, 903, 643, 642, 129?
Answer: LCM of 292, 903, 643, 642, 129 is 18141172476.
2. How to calculate the LCM of 292, 903, 643, 642, 129?
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 292, 903, 643, 642, 129.
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}.