LCM of 220, 456, 764, 441, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 456, 764, 441, 108 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 220, 456, 764, 441, 108. So, keep reading to learn more.
Given numbers are 220,456,764,441,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,456,764,441,108 is 2112513480.
Find LCM of 220,456,764,441,108 with Prime Factorization
| 2 | 220, 456, 764, 441, 108 |
| 2 | 110, 228, 382, 441, 54 |
| 3 | 55, 114, 191, 441, 27 |
| 3 | 55, 38, 191, 147, 9 |
| 55, 38, 191, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 55 x 38 x 191 x 49 x 3 = 2112513480
Therefore, the lowest common multiple of 220,456,764,441,108 is 2112513480.
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.
220 x 456 x 764 x 441 x 108 = 3650423293440
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
764 : 1, 2, 4, 191, 382, 764
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,456,764,441,108, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
456:2x 2x 2x 3x 19
764:2x 2x 191
441:3x 3x 7x 7
108:2x 2x 3x 3x 3
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 2x 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 3650423293440/(1x1728)
LCM = 3650423293440/1728
LCM = 2112513480
Thus, we can understand that the LCM of 220,456,764,441,108 is 2112513480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 220, 456, 764, 441, 108
1. What is the LCM of 220, 456, 764, 441, 108?
Answer: LCM of 220, 456, 764, 441, 108 is 2112513480.
2. How to calculate the LCM of 220, 456, 764, 441, 108?
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 220, 456, 764, 441, 108.
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}.