LCM of 111, 361, 532, 461, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 361, 532, 461, 148 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 111, 361, 532, 461, 148. So, keep reading to learn more.
Given numbers are 111,361,532,461,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,361,532,461,148 is 517236468.
Find LCM of 111,361,532,461,148 with Prime Factorization
| 2 | 111, 361, 532, 461, 148 |
| 2 | 111, 361, 266, 461, 74 |
| 19 | 111, 361, 133, 461, 37 |
| 37 | 111, 19, 7, 461, 37 |
| 3, 19, 7, 461, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 3 x 19 x 7 x 461 x 1 = 517236468
Therefore, the lowest common multiple of 111,361,532,461,148 is 517236468.
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.
111 x 361 x 532 x 461 x 148 = 1454468948016
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.
111 : 1, 3, 37, 111
361 : 1, 19, 361
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
461 : 1, 461
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,361,532,461,148, is 1.
Now, the common factors can be found like this.
111:3x 37
361:19x 19
532:2x 2x 7x 19
461:461
148:2x 2x 37
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 19x 37 = 2812
Therefore, the value for common factors is 2812.
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 = 1454468948016/(1x2812)
LCM = 1454468948016/2812
LCM = 517236468
Thus, we can understand that the LCM of 111,361,532,461,148 is 517236468.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 111, 361, 532, 461, 148
1. What is the LCM of 111, 361, 532, 461, 148?
Answer: LCM of 111, 361, 532, 461, 148 is 517236468.
2. How to calculate the LCM of 111, 361, 532, 461, 148?
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 111, 361, 532, 461, 148.
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}.