LCM of 671, 718, 719, 341, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 718, 719, 341, 214 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 671, 718, 719, 341, 214. So, keep reading to learn more.
Given numbers are 671,718,719,341,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,718,719,341,214 is 1149003433094.
Find LCM of 671,718,719,341,214 with Prime Factorization
| 2 | 671, 718, 719, 341, 214 |
| 11 | 671, 359, 719, 341, 107 |
| 61, 359, 719, 31, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 61 x 359 x 719 x 31 x 107 = 1149003433094
Therefore, the lowest common multiple of 671,718,719,341,214 is 1149003433094.
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.
671 x 718 x 719 x 341 x 214 = 25278075528068
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.
671 : 1, 11, 61, 671
718 : 1, 2, 359, 718
719 : 1, 719
341 : 1, 11, 31, 341
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,718,719,341,214, is 1.
Now, the common factors can be found like this.
671:11x 61
718:2x 359
719:719
341:11x 31
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 25278075528068/(1x22)
LCM = 25278075528068/22
LCM = 1149003433094
Thus, we can understand that the LCM of 671,718,719,341,214 is 1149003433094.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 718, 719, 341, 214
1. What is the LCM of 671, 718, 719, 341, 214?
Answer: LCM of 671, 718, 719, 341, 214 is 1149003433094.
2. How to calculate the LCM of 671, 718, 719, 341, 214?
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 671, 718, 719, 341, 214.
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}.