Find the LCM of 445, 195, 543, 299 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 445, 195, 543, 299. So, keep reading to learn more.
Given numbers are 445,195,543,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,195,543,299 is 72248865.
Find LCM of 445,195,543,299 with Prime Factorization
3 | 445, 195, 543, 299 |
5 | 445, 65, 181, 299 |
13 | 89, 13, 181, 299 |
89, 1, 181, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 89 x 1 x 181 x 23 = 72248865
Therefore, the lowest common multiple of 445,195,543,299 is 72248865.
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.
445 x 195 x 543 x 299 = 14088528675
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.
445 : 1, 5, 89, 445
195 : 1, 3, 5, 13, 15, 39, 65, 195
543 : 1, 3, 181, 543
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,195,543,299, is 1.
Now, the common factors can be found like this.
445:5x 89
195:3x 5x 13
543:3x 181
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 14088528675/(1x195)
LCM = 14088528675/195
LCM = 72248865
Thus, we can understand that the LCM of 445,195,543,299 is 72248865.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 445, 195, 543, 299?
Answer: LCM of 445, 195, 543, 299 is 72248865.
2. How to calculate the LCM of 445, 195, 543, 299?
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 445, 195, 543, 299.
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}.