Find the LCM of 326, 273, 719, 689 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 326, 273, 719, 689. So, keep reading to learn more.
Given numbers are 326,273,719,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,273,719,689 is 3391446786.
Find LCM of 326,273,719,689 with Prime Factorization
13 | 326, 273, 719, 689 |
326, 21, 719, 53 |
Multiply the prime numbers at the bottom and the left side.
13 x 326 x 21 x 719 x 53 = 3391446786
Therefore, the lowest common multiple of 326,273,719,689 is 3391446786.
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.
326 x 273 x 719 x 689 = 44088808218
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.
326 : 1, 2, 163, 326
273 : 1, 3, 7, 13, 21, 39, 91, 273
719 : 1, 719
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,273,719,689, is 1.
Now, the common factors can be found like this.
326:2x 163
273:3x 7x 13
719:719
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 44088808218/(1x13)
LCM = 44088808218/13
LCM = 3391446786
Thus, we can understand that the LCM of 326,273,719,689 is 3391446786.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 326, 273, 719, 689?
Answer: LCM of 326, 273, 719, 689 is 3391446786.
2. How to calculate the LCM of 326, 273, 719, 689?
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 326, 273, 719, 689.
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}.