LCM of 639, 845, 669, 669, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 845, 669, 669, 110 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, 845, 669, 669, 110. So, keep reading to learn more.
Given numbers are 639,845,669,669,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,845,669,669,110 is 2649019230.
Find LCM of 639,845,669,669,110 with Prime Factorization
| 3 | 639, 845, 669, 669, 110 |
| 5 | 213, 845, 223, 223, 110 |
| 223 | 213, 169, 223, 223, 22 |
| 213, 169, 1, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 223 x 213 x 169 x 1 x 1 x 22 = 2649019230
Therefore, the lowest common multiple of 639,845,669,669,110 is 2649019230.
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 845 x 669 x 669 x 110 = 26582907973050
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
845 : 1, 5, 13, 65, 169, 845
669 : 1, 3, 223, 669
669 : 1, 3, 223, 669
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,845,669,669,110, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
845:5x 13x 13
669:3x 223
669:3x 223
110:2x 5x 11
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 5x 223 = 10035
Therefore, the value for common factors is 10035.
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 = 26582907973050/(1x10035)
LCM = 26582907973050/10035
LCM = 2649019230
Thus, we can understand that the LCM of 639,845,669,669,110 is 2649019230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 845, 669, 669, 110
1. What is the LCM of 639, 845, 669, 669, 110?
Answer: LCM of 639, 845, 669, 669, 110 is 2649019230.
2. How to calculate the LCM of 639, 845, 669, 669, 110?
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, 845, 669, 669, 110.
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}.