LCM of 718, 680, 306, 187, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 680, 306, 187, 579 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 718, 680, 306, 187, 579. So, keep reading to learn more.
Given numbers are 718,680,306,187,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,680,306,187,579 is 4664400840.
Find LCM of 718,680,306,187,579 with Prime Factorization
| 2 | 718, 680, 306, 187, 579 |
| 3 | 359, 340, 153, 187, 579 |
| 17 | 359, 340, 51, 187, 193 |
| 359, 20, 3, 11, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 359 x 20 x 3 x 11 x 193 = 4664400840
Therefore, the lowest common multiple of 718,680,306,187,579 is 4664400840.
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.
718 x 680 x 306 x 187 x 579 = 16176142113120
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.
718 : 1, 2, 359, 718
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
187 : 1, 11, 17, 187
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,680,306,187,579, is 1.
Now, the common factors can be found like this.
718:2x 359
680:2x 2x 2x 5x 17
306:2x 3x 3x 17
187:11x 17
579:3x 193
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 3x 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 16176142113120/(1x3468)
LCM = 16176142113120/3468
LCM = 4664400840
Thus, we can understand that the LCM of 718,680,306,187,579 is 4664400840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 718, 680, 306, 187, 579
1. What is the LCM of 718, 680, 306, 187, 579?
Answer: LCM of 718, 680, 306, 187, 579 is 4664400840.
2. How to calculate the LCM of 718, 680, 306, 187, 579?
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 718, 680, 306, 187, 579.
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}.