LCM of 182, 721, 699, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 721, 699, 447 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 182, 721, 699, 447. So, keep reading to learn more.
Given numbers are 182,721,699,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,721,699,447 is 1952414646.
Find LCM of 182,721,699,447 with Prime Factorization
| 3 | 182, 721, 699, 447 |
| 7 | 182, 721, 233, 149 |
| 26, 103, 233, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 26 x 103 x 233 x 149 = 1952414646
Therefore, the lowest common multiple of 182,721,699,447 is 1952414646.
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.
182 x 721 x 699 x 447 = 41000707566
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
721 : 1, 7, 103, 721
699 : 1, 3, 233, 699
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,721,699,447, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
721:7x 103
699:3x 233
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 41000707566/(1x21)
LCM = 41000707566/21
LCM = 1952414646
Thus, we can understand that the LCM of 182,721,699,447 is 1952414646.
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FAQs on LCM of 182, 721, 699, 447
1. What is the LCM of 182, 721, 699, 447?
Answer: LCM of 182, 721, 699, 447 is 1952414646.
2. How to calculate the LCM of 182, 721, 699, 447?
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 182, 721, 699, 447.
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}.