LCM of 382, 627, 243, 818, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 627, 243, 818, 869 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 382, 627, 243, 818, 869. So, keep reading to learn more.
Given numbers are 382,627,243,818,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,627,243,818,869 is 626853885174.
Find LCM of 382,627,243,818,869 with Prime Factorization
| 2 | 382, 627, 243, 818, 869 |
| 3 | 191, 627, 243, 409, 869 |
| 11 | 191, 209, 81, 409, 869 |
| 191, 19, 81, 409, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 191 x 19 x 81 x 409 x 79 = 626853885174
Therefore, the lowest common multiple of 382,627,243,818,869 is 626853885174.
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.
382 x 627 x 243 x 818 x 869 = 41372356421484
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.
382 : 1, 2, 191, 382
627 : 1, 3, 11, 19, 33, 57, 209, 627
243 : 1, 3, 9, 27, 81, 243
818 : 1, 2, 409, 818
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,627,243,818,869, is 1.
Now, the common factors can be found like this.
382:2x 191
627:3x 11x 19
243:3x 3x 3x 3x 3
818:2x 409
869:11x 79
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 11 = 66
Therefore, the value for common factors is 66.
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 = 41372356421484/(1x66)
LCM = 41372356421484/66
LCM = 626853885174
Thus, we can understand that the LCM of 382,627,243,818,869 is 626853885174.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 627, 243, 818, 869
1. What is the LCM of 382, 627, 243, 818, 869?
Answer: LCM of 382, 627, 243, 818, 869 is 626853885174.
2. How to calculate the LCM of 382, 627, 243, 818, 869?
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 382, 627, 243, 818, 869.
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}.