LCM of 639, 107, 339, 678, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 107, 339, 678, 105 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 639, 107, 339, 678, 105. So, keep reading to learn more.
Given numbers are 639,107,339,678,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,107,339,678,105 is 540830430.
Find LCM of 639,107,339,678,105 with Prime Factorization
| 3 | 639, 107, 339, 678, 105 |
| 113 | 213, 107, 113, 226, 35 |
| 213, 107, 1, 2, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 213 x 107 x 1 x 2 x 35 = 540830430
Therefore, the lowest common multiple of 639,107,339,678,105 is 540830430.
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.
639 x 107 x 339 x 678 x 105 = 1650073641930
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.
639 : 1, 3, 9, 71, 213, 639
107 : 1, 107
339 : 1, 3, 113, 339
678 : 1, 2, 3, 6, 113, 226, 339, 678
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,107,339,678,105, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
107:107
339:3x 113
678:2x 3x 113
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 113 = 3051
Therefore, the value for common factors is 3051.
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 = 1650073641930/(1x3051)
LCM = 1650073641930/3051
LCM = 540830430
Thus, we can understand that the LCM of 639,107,339,678,105 is 540830430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 107, 339, 678, 105
1. What is the LCM of 639, 107, 339, 678, 105?
Answer: LCM of 639, 107, 339, 678, 105 is 540830430.
2. How to calculate the LCM of 639, 107, 339, 678, 105?
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 639, 107, 339, 678, 105.
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}.