LCM of 229, 946, 741, 825, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 946, 741, 825, 143 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 229, 946, 741, 825, 143. So, keep reading to learn more.
Given numbers are 229,946,741,825,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,946,741,825,143 is 4013144850.
Find LCM of 229,946,741,825,143 with Prime Factorization
| 3 | 229, 946, 741, 825, 143 |
| 11 | 229, 946, 247, 275, 143 |
| 13 | 229, 86, 247, 25, 13 |
| 229, 86, 19, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 229 x 86 x 19 x 25 x 1 = 4013144850
Therefore, the lowest common multiple of 229,946,741,825,143 is 4013144850.
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.
229 x 946 x 741 x 825 x 143 = 18938030547150
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.
229 : 1, 229
946 : 1, 2, 11, 22, 43, 86, 473, 946
741 : 1, 3, 13, 19, 39, 57, 247, 741
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,946,741,825,143, is 1.
Now, the common factors can be found like this.
229:229
946:2x 11x 43
741:3x 13x 19
825:3x 5x 5x 11
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 13 = 4719
Therefore, the value for common factors is 4719.
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 = 18938030547150/(1x4719)
LCM = 18938030547150/4719
LCM = 4013144850
Thus, we can understand that the LCM of 229,946,741,825,143 is 4013144850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 946, 741, 825, 143
1. What is the LCM of 229, 946, 741, 825, 143?
Answer: LCM of 229, 946, 741, 825, 143 is 4013144850.
2. How to calculate the LCM of 229, 946, 741, 825, 143?
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 229, 946, 741, 825, 143.
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}.