LCM of 869, 738, 982, 741, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 738, 982, 741, 949 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 869, 738, 982, 741, 949. So, keep reading to learn more.
Given numbers are 869,738,982,741,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,738,982,741,949 is 5677765398162.
Find LCM of 869,738,982,741,949 with Prime Factorization
| 2 | 869, 738, 982, 741, 949 |
| 3 | 869, 369, 491, 741, 949 |
| 13 | 869, 123, 491, 247, 949 |
| 869, 123, 491, 19, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 869 x 123 x 491 x 19 x 73 = 5677765398162
Therefore, the lowest common multiple of 869,738,982,741,949 is 5677765398162.
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.
869 x 738 x 982 x 741 x 949 = 442865701056636
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.
869 : 1, 11, 79, 869
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
982 : 1, 2, 491, 982
741 : 1, 3, 13, 19, 39, 57, 247, 741
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,738,982,741,949, is 1.
Now, the common factors can be found like this.
869:11x 79
738:2x 3x 3x 41
982:2x 491
741:3x 13x 19
949:13x 73
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 13 = 78
Therefore, the value for common factors is 78.
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 = 442865701056636/(1x78)
LCM = 442865701056636/78
LCM = 5677765398162
Thus, we can understand that the LCM of 869,738,982,741,949 is 5677765398162.
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FAQs on LCM of 869, 738, 982, 741, 949
1. What is the LCM of 869, 738, 982, 741, 949?
Answer: LCM of 869, 738, 982, 741, 949 is 5677765398162.
2. How to calculate the LCM of 869, 738, 982, 741, 949?
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 869, 738, 982, 741, 949.
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}.