LCM of 107, 321, 309, 442, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 321, 309, 442, 929 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 107, 321, 309, 442, 929. So, keep reading to learn more.
Given numbers are 107,321,309,442,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,321,309,442,929 is 13576262934.
Find LCM of 107,321,309,442,929 with Prime Factorization
| 3 | 107, 321, 309, 442, 929 |
| 107 | 107, 107, 103, 442, 929 |
| 1, 1, 103, 442, 929 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 1 x 1 x 103 x 442 x 929 = 13576262934
Therefore, the lowest common multiple of 107,321,309,442,929 is 13576262934.
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.
107 x 321 x 309 x 442 x 929 = 4357980401814
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.
107 : 1, 107
321 : 1, 3, 107, 321
309 : 1, 3, 103, 309
442 : 1, 2, 13, 17, 26, 34, 221, 442
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,321,309,442,929, is 1.
Now, the common factors can be found like this.
107:107
321:3x 107
309:3x 103
442:2x 13x 17
929:929
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 107 = 321
Therefore, the value for common factors is 321.
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 = 4357980401814/(1x321)
LCM = 4357980401814/321
LCM = 13576262934
Thus, we can understand that the LCM of 107,321,309,442,929 is 13576262934.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 321, 309, 442, 929
1. What is the LCM of 107, 321, 309, 442, 929?
Answer: LCM of 107, 321, 309, 442, 929 is 13576262934.
2. How to calculate the LCM of 107, 321, 309, 442, 929?
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 107, 321, 309, 442, 929.
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}.