LCM of 441, 807, 969, 717, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 807, 969, 717, 868 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 441, 807, 969, 717, 868. So, keep reading to learn more.
Given numbers are 441,807,969,717,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,807,969,717,868 is 1135567561212.
Find LCM of 441,807,969,717,868 with Prime Factorization
| 3 | 441, 807, 969, 717, 868 |
| 7 | 147, 269, 323, 239, 868 |
| 21, 269, 323, 239, 124 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 21 x 269 x 323 x 239 x 124 = 1135567561212
Therefore, the lowest common multiple of 441,807,969,717,868 is 1135567561212.
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.
441 x 807 x 969 x 717 x 868 = 214622269069068
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
807 : 1, 3, 269, 807
969 : 1, 3, 17, 19, 51, 57, 323, 969
717 : 1, 3, 239, 717
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,807,969,717,868, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
807:3x 269
969:3x 17x 19
717:3x 239
868:2x 2x 7x 31
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 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 214622269069068/(1x189)
LCM = 214622269069068/189
LCM = 1135567561212
Thus, we can understand that the LCM of 441,807,969,717,868 is 1135567561212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 441, 807, 969, 717, 868
1. What is the LCM of 441, 807, 969, 717, 868?
Answer: LCM of 441, 807, 969, 717, 868 is 1135567561212.
2. How to calculate the LCM of 441, 807, 969, 717, 868?
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 441, 807, 969, 717, 868.
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}.