LCM of 391, 981, 340, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 981, 340, 109 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 391, 981, 340, 109. So, keep reading to learn more.
Given numbers are 391,981,340,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,981,340,109 is 7671420.
Find LCM of 391,981,340,109 with Prime Factorization
| 17 | 391, 981, 340, 109 |
| 109 | 23, 981, 20, 109 |
| 23, 9, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 109 x 23 x 9 x 20 x 1 = 7671420
Therefore, the lowest common multiple of 391,981,340,109 is 7671420.
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.
391 x 981 x 340 x 109 = 14215141260
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.
391 : 1, 17, 23, 391
981 : 1, 3, 9, 109, 327, 981
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,981,340,109, is 1.
Now, the common factors can be found like this.
391:17x 23
981:3x 3x 109
340:2x 2x 5x 17
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 109 = 1853
Therefore, the value for common factors is 1853.
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 = 14215141260/(1x1853)
LCM = 14215141260/1853
LCM = 7671420
Thus, we can understand that the LCM of 391,981,340,109 is 7671420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 981, 340, 109
1. What is the LCM of 391, 981, 340, 109?
Answer: LCM of 391, 981, 340, 109 is 7671420.
2. How to calculate the LCM of 391, 981, 340, 109?
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 391, 981, 340, 109.
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}.