Find the LCM of 719, 321, 663, 309, 924 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 719, 321, 663, 309, 924. So, keep reading to learn more.
Given numbers are 719,321,663,309,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,321,663,309,924 is 1618132712196.
Find LCM of 719,321,663,309,924 with Prime Factorization
3 | 719, 321, 663, 309, 924 |
719, 107, 221, 103, 308 |
Multiply the prime numbers at the bottom and the left side.
3 x 719 x 107 x 221 x 103 x 308 = 1618132712196
Therefore, the lowest common multiple of 719,321,663,309,924 is 1618132712196.
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.
719 x 321 x 663 x 309 x 924 = 43689583229292
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.
719 : 1, 719
321 : 1, 3, 107, 321
663 : 1, 3, 13, 17, 39, 51, 221, 663
309 : 1, 3, 103, 309
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,321,663,309,924, is 1.
Now, the common factors can be found like this.
719:719
321:3x 107
663:3x 13x 17
309:3x 103
924:2x 2x 3x 7x 11
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 3 = 27
Therefore, the value for common factors is 27.
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 = 43689583229292/(1x27)
LCM = 43689583229292/27
LCM = 1618132712196
Thus, we can understand that the LCM of 719,321,663,309,924 is 1618132712196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 719, 321, 663, 309, 924?
Answer: LCM of 719, 321, 663, 309, 924 is 1618132712196.
2. How to calculate the LCM of 719, 321, 663, 309, 924?
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 719, 321, 663, 309, 924.
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}.