LCM of 182, 606, 202, 342, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 606, 202, 342, 495 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 182, 606, 202, 342, 495. So, keep reading to learn more.
Given numbers are 182,606,202,342,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,606,202,342,495 is 172882710.
Find LCM of 182,606,202,342,495 with Prime Factorization
| 2 | 182, 606, 202, 342, 495 |
| 3 | 91, 303, 101, 171, 495 |
| 3 | 91, 101, 101, 57, 165 |
| 101 | 91, 101, 101, 19, 55 |
| 91, 1, 1, 19, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 91 x 1 x 1 x 19 x 55 = 172882710
Therefore, the lowest common multiple of 182,606,202,342,495 is 172882710.
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.
182 x 606 x 202 x 342 x 495 = 3771609201360
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
606 : 1, 2, 3, 6, 101, 202, 303, 606
202 : 1, 2, 101, 202
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,606,202,342,495, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
606:2x 3x 101
202:2x 101
342:2x 3x 3x 19
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 101 = 21816
Therefore, the value for common factors is 21816.
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 = 3771609201360/(1x21816)
LCM = 3771609201360/21816
LCM = 172882710
Thus, we can understand that the LCM of 182,606,202,342,495 is 172882710.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 182, 606, 202, 342, 495
1. What is the LCM of 182, 606, 202, 342, 495?
Answer: LCM of 182, 606, 202, 342, 495 is 172882710.
2. How to calculate the LCM of 182, 606, 202, 342, 495?
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 182, 606, 202, 342, 495.
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}.