Find the LCM of 363, 300, 846, 229 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 363, 300, 846, 229. So, keep reading to learn more.
Given numbers are 363,300,846,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,300,846,229 is 1172090700.
Find LCM of 363,300,846,229 with Prime Factorization
2 | 363, 300, 846, 229 |
3 | 363, 150, 423, 229 |
121, 50, 141, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 121 x 50 x 141 x 229 = 1172090700
Therefore, the lowest common multiple of 363,300,846,229 is 1172090700.
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.
363 x 300 x 846 x 229 = 21097632600
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.
363 : 1, 3, 11, 33, 121, 363
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,300,846,229, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
300:2x 2x 3x 5x 5
846:2x 3x 3x 47
229:229
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 3 = 18
Therefore, the value for common factors is 18.
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 = 21097632600/(1x18)
LCM = 21097632600/18
LCM = 1172090700
Thus, we can understand that the LCM of 363,300,846,229 is 1172090700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 300, 846, 229?
Answer: LCM of 363, 300, 846, 229 is 1172090700.
2. How to calculate the LCM of 363, 300, 846, 229?
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 363, 300, 846, 229.
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}.