Find the LCM of 721, 924, 529, 322 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 721, 924, 529, 322. So, keep reading to learn more.
Given numbers are 721,924,529,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,924,529,322 is 50345988.
Find LCM of 721,924,529,322 with Prime Factorization
2 | 721, 924, 529, 322 |
7 | 721, 462, 529, 161 |
23 | 103, 66, 529, 23 |
103, 66, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 103 x 66 x 1 x 23 = 50345988
Therefore, the lowest common multiple of 721,924,529,322 is 50345988.
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.
721 x 924 x 529 x 322 = 113479856952
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.
721 : 1, 7, 103, 721
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
529 : 1, 23, 529
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,924,529,322, is 1.
Now, the common factors can be found like this.
721:7x 103
924:2x 2x 3x 7x 11
529:23x 23
322:2x 7x 23
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 7x 23 = 2254
Therefore, the value for common factors is 2254.
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 = 113479856952/(1x2254)
LCM = 113479856952/2254
LCM = 50345988
Thus, we can understand that the LCM of 721,924,529,322 is 50345988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 924, 529, 322?
Answer: LCM of 721, 924, 529, 322 is 50345988.
2. How to calculate the LCM of 721, 924, 529, 322?
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 721, 924, 529, 322.
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}.