Find the LCM of 195, 229, 533, 442 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 195, 229, 533, 442. So, keep reading to learn more.
Given numbers are 195,229,533,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,229,533,442 is 62249070.
Find LCM of 195,229,533,442 with Prime Factorization
13 | 195, 229, 533, 442 |
15, 229, 41, 34 |
Multiply the prime numbers at the bottom and the left side.
13 x 15 x 229 x 41 x 34 = 62249070
Therefore, the lowest common multiple of 195,229,533,442 is 62249070.
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.
195 x 229 x 533 x 442 = 10520092830
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
229 : 1, 229
533 : 1, 13, 41, 533
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,229,533,442, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
229:229
533:13x 41
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 10520092830/(1x169)
LCM = 10520092830/169
LCM = 62249070
Thus, we can understand that the LCM of 195,229,533,442 is 62249070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 229, 533, 442?
Answer: LCM of 195, 229, 533, 442 is 62249070.
2. How to calculate the LCM of 195, 229, 533, 442?
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 195, 229, 533, 442.
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}.