Find the LCM of 719, 372, 825, 473, 966 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, 372, 825, 473, 966. So, keep reading to learn more.
Given numbers are 719,372,825,473,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,372,825,473,966 is 509212265100.
Find LCM of 719,372,825,473,966 with Prime Factorization
2 | 719, 372, 825, 473, 966 |
3 | 719, 186, 825, 473, 483 |
11 | 719, 62, 275, 473, 161 |
719, 62, 25, 43, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 719 x 62 x 25 x 43 x 161 = 509212265100
Therefore, the lowest common multiple of 719,372,825,473,966 is 509212265100.
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 372 x 825 x 473 x 966 = 100824028489800
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
473 : 1, 11, 43, 473
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,372,825,473,966, is 1.
Now, the common factors can be found like this.
719:719
372:2x 2x 3x 31
825:3x 5x 5x 11
473:11x 43
966:2x 3x 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 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 100824028489800/(1x198)
LCM = 100824028489800/198
LCM = 509212265100
Thus, we can understand that the LCM of 719,372,825,473,966 is 509212265100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 719, 372, 825, 473, 966?
Answer: LCM of 719, 372, 825, 473, 966 is 509212265100.
2. How to calculate the LCM of 719, 372, 825, 473, 966?
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, 372, 825, 473, 966.
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}.