LCM of 988, 342, 680, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 342, 680, 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 988, 342, 680, 214. So, keep reading to learn more.
Given numbers are 988,342,680,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,342,680,214 is 161745480.
Find LCM of 988,342,680,214 with Prime Factorization
| 2 | 988, 342, 680, 214 |
| 2 | 494, 171, 340, 107 |
| 19 | 247, 171, 170, 107 |
| 13, 9, 170, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 13 x 9 x 170 x 107 = 161745480
Therefore, the lowest common multiple of 988,342,680,214 is 161745480.
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.
988 x 342 x 680 x 214 = 49170625920
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,342,680,214, is 2.
Now, the common factors can be found like this.
988:2x 2x 13x 19
342:2x 3x 3x 19
680:2x 2x 2x 5x 17
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 2x 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 49170625920/(2x152)
LCM = 49170625920/304
LCM = 161745480
Thus, we can understand that the LCM of 988,342,680,214 is 161745480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 988, 342, 680, 214
1. What is the LCM of 988, 342, 680, 214?
Answer: LCM of 988, 342, 680, 214 is 161745480.
2. How to calculate the LCM of 988, 342, 680, 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 988, 342, 680, 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}.