LCM of 642, 927, 189, 827, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 927, 189, 827, 540 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 642, 927, 189, 827, 540. So, keep reading to learn more.
Given numbers are 642,927,189,827,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,927,189,827,540 is 34452307260.
Find LCM of 642,927,189,827,540 with Prime Factorization
| 2 | 642, 927, 189, 827, 540 |
| 3 | 321, 927, 189, 827, 270 |
| 3 | 107, 309, 63, 827, 90 |
| 3 | 107, 103, 21, 827, 30 |
| 107, 103, 7, 827, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 107 x 103 x 7 x 827 x 10 = 34452307260
Therefore, the lowest common multiple of 642,927,189,827,540 is 34452307260.
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.
642 x 927 x 189 x 827 x 540 = 50231463985080
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
927 : 1, 3, 9, 103, 309, 927
189 : 1, 3, 7, 9, 21, 27, 63, 189
827 : 1, 827
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,927,189,827,540, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
927:3x 3x 103
189:3x 3x 3x 7
827:827
540:2x 2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 3 = 1458
Therefore, the value for common factors is 1458.
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 = 50231463985080/(1x1458)
LCM = 50231463985080/1458
LCM = 34452307260
Thus, we can understand that the LCM of 642,927,189,827,540 is 34452307260.
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FAQs on LCM of 642, 927, 189, 827, 540
1. What is the LCM of 642, 927, 189, 827, 540?
Answer: LCM of 642, 927, 189, 827, 540 is 34452307260.
2. How to calculate the LCM of 642, 927, 189, 827, 540?
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 642, 927, 189, 827, 540.
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}.