LCM of 220, 252, 314, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 252, 314, 220 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, 252, 314, 220. So, keep reading to learn more.
Given numbers are 220,252,314,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,252,314,220 is 2176020.
Find LCM of 220,252,314,220 with Prime Factorization
| 2 | 220, 252, 314, 220 |
| 2 | 110, 126, 157, 110 |
| 5 | 55, 63, 157, 55 |
| 11 | 11, 63, 157, 11 |
| 1, 63, 157, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 63 x 157 x 1 = 2176020
Therefore, the lowest common multiple of 220,252,314,220 is 2176020.
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 252 x 314 x 220 = 3829795200
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
314 : 1, 2, 157, 314
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,252,314,220, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
252:2x 2x 3x 3x 7
314:2x 157
220:2x 2x 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 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 3829795200/(2x880)
LCM = 3829795200/1760
LCM = 2176020
Thus, we can understand that the LCM of 220,252,314,220 is 2176020.
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, 252, 314, 220
1. What is the LCM of 220, 252, 314, 220?
Answer: LCM of 220, 252, 314, 220 is 2176020.
2. How to calculate the LCM of 220, 252, 314, 220?
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, 252, 314, 220.
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}.