LCM of 189, 907, 300, 760, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 907, 300, 760, 326 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 189, 907, 300, 760, 326. So, keep reading to learn more.
Given numbers are 189,907,300,760,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,907,300,760,326 is 106179406200.
Find LCM of 189,907,300,760,326 with Prime Factorization
| 2 | 189, 907, 300, 760, 326 |
| 2 | 189, 907, 150, 380, 163 |
| 3 | 189, 907, 75, 190, 163 |
| 5 | 63, 907, 25, 190, 163 |
| 63, 907, 5, 38, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 63 x 907 x 5 x 38 x 163 = 106179406200
Therefore, the lowest common multiple of 189,907,300,760,326 is 106179406200.
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.
189 x 907 x 300 x 760 x 326 = 12741528744000
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
907 : 1, 907
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,907,300,760,326, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
907:907
300:2x 2x 3x 5x 5
760:2x 2x 2x 5x 19
326:2x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 12741528744000/(1x120)
LCM = 12741528744000/120
LCM = 106179406200
Thus, we can understand that the LCM of 189,907,300,760,326 is 106179406200.
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FAQs on LCM of 189, 907, 300, 760, 326
1. What is the LCM of 189, 907, 300, 760, 326?
Answer: LCM of 189, 907, 300, 760, 326 is 106179406200.
2. How to calculate the LCM of 189, 907, 300, 760, 326?
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 189, 907, 300, 760, 326.
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}.