LCM of 125, 903, 645, 774, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 903, 645, 774, 683 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 125, 903, 645, 774, 683. So, keep reading to learn more.
Given numbers are 125,903,645,774,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,903,645,774,683 is 462561750.
Find LCM of 125,903,645,774,683 with Prime Factorization
| 3 | 125, 903, 645, 774, 683 |
| 5 | 125, 301, 215, 258, 683 |
| 43 | 25, 301, 43, 258, 683 |
| 25, 7, 1, 6, 683 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 25 x 7 x 1 x 6 x 683 = 462561750
Therefore, the lowest common multiple of 125,903,645,774,683 is 462561750.
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.
125 x 903 x 645 x 774 x 683 = 38487450408750
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.
125 : 1, 5, 25, 125
903 : 1, 3, 7, 21, 43, 129, 301, 903
645 : 1, 3, 5, 15, 43, 129, 215, 645
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,903,645,774,683, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
903:3x 7x 43
645:3x 5x 43
774:2x 3x 3x 43
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 43x 43 = 83205
Therefore, the value for common factors is 83205.
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 = 38487450408750/(1x83205)
LCM = 38487450408750/83205
LCM = 462561750
Thus, we can understand that the LCM of 125,903,645,774,683 is 462561750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 125, 903, 645, 774, 683
1. What is the LCM of 125, 903, 645, 774, 683?
Answer: LCM of 125, 903, 645, 774, 683 is 462561750.
2. How to calculate the LCM of 125, 903, 645, 774, 683?
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 125, 903, 645, 774, 683.
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}.