LCM of 455, 824, 721, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 824, 721, 946 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 455, 824, 721, 946. So, keep reading to learn more.
Given numbers are 455,824,721,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,824,721,946 is 177337160.
Find LCM of 455,824,721,946 with Prime Factorization
| 2 | 455, 824, 721, 946 |
| 7 | 455, 412, 721, 473 |
| 103 | 65, 412, 103, 473 |
| 65, 4, 1, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 103 x 65 x 4 x 1 x 473 = 177337160
Therefore, the lowest common multiple of 455,824,721,946 is 177337160.
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.
455 x 824 x 721 x 946 = 255720184720
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
824 : 1, 2, 4, 8, 103, 206, 412, 824
721 : 1, 7, 103, 721
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,824,721,946, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
824:2x 2x 2x 103
721:7x 103
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 103 = 1442
Therefore, the value for common factors is 1442.
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 = 255720184720/(1x1442)
LCM = 255720184720/1442
LCM = 177337160
Thus, we can understand that the LCM of 455,824,721,946 is 177337160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 455, 824, 721, 946
1. What is the LCM of 455, 824, 721, 946?
Answer: LCM of 455, 824, 721, 946 is 177337160.
2. How to calculate the LCM of 455, 824, 721, 946?
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 455, 824, 721, 946.
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}.