LCM of 310, 680, 106, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 680, 106, 221 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 310, 680, 106, 221. So, keep reading to learn more.
Given numbers are 310,680,106,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,680,106,221 is 14524120.
Find LCM of 310,680,106,221 with Prime Factorization
| 2 | 310, 680, 106, 221 |
| 5 | 155, 340, 53, 221 |
| 17 | 31, 68, 53, 221 |
| 31, 4, 53, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 31 x 4 x 53 x 13 = 14524120
Therefore, the lowest common multiple of 310,680,106,221 is 14524120.
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.
310 x 680 x 106 x 221 = 4938200800
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
106 : 1, 2, 53, 106
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,680,106,221, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
680:2x 2x 2x 5x 17
106:2x 53
221:13x 17
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 17 = 340
Therefore, the value for common factors is 340.
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 = 4938200800/(1x340)
LCM = 4938200800/340
LCM = 14524120
Thus, we can understand that the LCM of 310,680,106,221 is 14524120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 680, 106, 221
1. What is the LCM of 310, 680, 106, 221?
Answer: LCM of 310, 680, 106, 221 is 14524120.
2. How to calculate the LCM of 310, 680, 106, 221?
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 310, 680, 106, 221.
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}.