LCM of 471, 495, 220, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 495, 220, 361 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 471, 495, 220, 361. So, keep reading to learn more.
Given numbers are 471,495,220,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,495,220,361 is 112220460.
Find LCM of 471,495,220,361 with Prime Factorization
| 3 | 471, 495, 220, 361 |
| 5 | 157, 165, 220, 361 |
| 11 | 157, 33, 44, 361 |
| 157, 3, 4, 361 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 157 x 3 x 4 x 361 = 112220460
Therefore, the lowest common multiple of 471,495,220,361 is 112220460.
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.
471 x 495 x 220 x 361 = 18516375900
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.
471 : 1, 3, 157, 471
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,495,220,361, is 1.
Now, the common factors can be found like this.
471:3x 157
495:3x 3x 5x 11
220:2x 2x 5x 11
361:19x 19
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 11 = 165
Therefore, the value for common factors is 165.
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 = 18516375900/(1x165)
LCM = 18516375900/165
LCM = 112220460
Thus, we can understand that the LCM of 471,495,220,361 is 112220460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 495, 220, 361
1. What is the LCM of 471, 495, 220, 361?
Answer: LCM of 471, 495, 220, 361 is 112220460.
2. How to calculate the LCM of 471, 495, 220, 361?
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 471, 495, 220, 361.
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}.