Find the LCM of 722, 247, 485, 380 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 722, 247, 485, 380. So, keep reading to learn more.
Given numbers are 722,247,485,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,247,485,380 is 9104420.
Find LCM of 722,247,485,380 with Prime Factorization
2 | 722, 247, 485, 380 |
5 | 361, 247, 485, 190 |
19 | 361, 247, 97, 38 |
19, 13, 97, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 19 x 13 x 97 x 2 = 9104420
Therefore, the lowest common multiple of 722,247,485,380 is 9104420.
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.
722 x 247 x 485 x 380 = 32866956200
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.
722 : 1, 2, 19, 38, 361, 722
247 : 1, 13, 19, 247
485 : 1, 5, 97, 485
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,247,485,380, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
247:13x 19
485:5x 97
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 19 = 3610
Therefore, the value for common factors is 3610.
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 = 32866956200/(1x3610)
LCM = 32866956200/3610
LCM = 9104420
Thus, we can understand that the LCM of 722,247,485,380 is 9104420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 247, 485, 380?
Answer: LCM of 722, 247, 485, 380 is 9104420.
2. How to calculate the LCM of 722, 247, 485, 380?
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 722, 247, 485, 380.
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}.