LCM of 456, 105, 213, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 105, 213, 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 456, 105, 213, 869. So, keep reading to learn more.
Given numbers are 456,105,213,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,105,213,869 is 984716040.
Find LCM of 456,105,213,869 with Prime Factorization
| 3 | 456, 105, 213, 869 |
| 152, 35, 71, 869 |
Multiply the prime numbers at the bottom and the left side.
3 x 152 x 35 x 71 x 869 = 984716040
Therefore, the lowest common multiple of 456,105,213,869 is 984716040.
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.
456 x 105 x 213 x 869 = 8862444360
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
105 : 1, 3, 5, 7, 15, 21, 35, 105
213 : 1, 3, 71, 213
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,105,213,869, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
105:3x 5x 7
213:3x 71
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.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 8862444360/(1x9)
LCM = 8862444360/9
LCM = 984716040
Thus, we can understand that the LCM of 456,105,213,869 is 984716040.
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FAQs on LCM of 456, 105, 213, 869
1. What is the LCM of 456, 105, 213, 869?
Answer: LCM of 456, 105, 213, 869 is 984716040.
2. How to calculate the LCM of 456, 105, 213, 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 456, 105, 213, 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}.