LCM of 220, 331, 428, 719, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 331, 428, 719, 706 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, 331, 428, 719, 706. So, keep reading to learn more.
Given numbers are 220,331,428,719,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,331,428,719,706 is 1977598154180.
Find LCM of 220,331,428,719,706 with Prime Factorization
| 2 | 220, 331, 428, 719, 706 |
| 2 | 110, 331, 214, 719, 353 |
| 55, 331, 107, 719, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 55 x 331 x 107 x 719 x 353 = 1977598154180
Therefore, the lowest common multiple of 220,331,428,719,706 is 1977598154180.
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 331 x 428 x 719 x 706 = 15820785233440
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
331 : 1, 331
428 : 1, 2, 4, 107, 214, 428
719 : 1, 719
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,331,428,719,706, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
331:331
428:2x 2x 107
719:719
706:2x 353
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 2 = 8
Therefore, the value for common factors is 8.
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 = 15820785233440/(1x8)
LCM = 15820785233440/8
LCM = 1977598154180
Thus, we can understand that the LCM of 220,331,428,719,706 is 1977598154180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 331, 428, 719, 706
1. What is the LCM of 220, 331, 428, 719, 706?
Answer: LCM of 220, 331, 428, 719, 706 is 1977598154180.
2. How to calculate the LCM of 220, 331, 428, 719, 706?
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, 331, 428, 719, 706.
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}.