LCM of 220, 377, 130, 446, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 377, 130, 446, 199 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, 377, 130, 446, 199. So, keep reading to learn more.
Given numbers are 220,377,130,446,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,377,130,446,199 is 3680628380.
Find LCM of 220,377,130,446,199 with Prime Factorization
| 2 | 220, 377, 130, 446, 199 |
| 5 | 110, 377, 65, 223, 199 |
| 13 | 22, 377, 13, 223, 199 |
| 22, 29, 1, 223, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 22 x 29 x 1 x 223 x 199 = 3680628380
Therefore, the lowest common multiple of 220,377,130,446,199 is 3680628380.
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 377 x 130 x 446 x 199 = 956963378800
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
377 : 1, 13, 29, 377
130 : 1, 2, 5, 10, 13, 26, 65, 130
446 : 1, 2, 223, 446
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,377,130,446,199, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
377:13x 29
130:2x 5x 13
446:2x 223
199:199
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 956963378800/(1x260)
LCM = 956963378800/260
LCM = 3680628380
Thus, we can understand that the LCM of 220,377,130,446,199 is 3680628380.
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, 377, 130, 446, 199
1. What is the LCM of 220, 377, 130, 446, 199?
Answer: LCM of 220, 377, 130, 446, 199 is 3680628380.
2. How to calculate the LCM of 220, 377, 130, 446, 199?
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, 377, 130, 446, 199.
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}.