LCM of 642, 688, 341, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 688, 341, 903 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 642, 688, 341, 903. So, keep reading to learn more.
Given numbers are 642,688,341,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,688,341,903 is 527164176.
Find LCM of 642,688,341,903 with Prime Factorization
| 2 | 642, 688, 341, 903 |
| 3 | 321, 344, 341, 903 |
| 43 | 107, 344, 341, 301 |
| 107, 8, 341, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 107 x 8 x 341 x 7 = 527164176
Therefore, the lowest common multiple of 642,688,341,903 is 527164176.
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.
642 x 688 x 341 x 903 = 136008357408
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
341 : 1, 11, 31, 341
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,688,341,903, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
688:2x 2x 2x 2x 43
341:11x 31
903:3x 7x 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 43 = 258
Therefore, the value for common factors is 258.
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 = 136008357408/(1x258)
LCM = 136008357408/258
LCM = 527164176
Thus, we can understand that the LCM of 642,688,341,903 is 527164176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 688, 341, 903
1. What is the LCM of 642, 688, 341, 903?
Answer: LCM of 642, 688, 341, 903 is 527164176.
2. How to calculate the LCM of 642, 688, 341, 903?
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 642, 688, 341, 903.
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}.