LCM of 904, 540, 302, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 540, 302, 189 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 904, 540, 302, 189. So, keep reading to learn more.
Given numbers are 904,540,302,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,540,302,189 is 128996280.
Find LCM of 904,540,302,189 with Prime Factorization
| 2 | 904, 540, 302, 189 |
| 2 | 452, 270, 151, 189 |
| 3 | 226, 135, 151, 189 |
| 3 | 226, 45, 151, 63 |
| 3 | 226, 15, 151, 21 |
| 226, 5, 151, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 226 x 5 x 151 x 7 = 128996280
Therefore, the lowest common multiple of 904,540,302,189 is 128996280.
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.
904 x 540 x 302 x 189 = 27863196480
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
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
302 : 1, 2, 151, 302
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,540,302,189, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
540:2x 2x 3x 3x 3x 5
302:2x 151
189:3x 3x 3x 7
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 27863196480/(1x216)
LCM = 27863196480/216
LCM = 128996280
Thus, we can understand that the LCM of 904,540,302,189 is 128996280.
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FAQs on LCM of 904, 540, 302, 189
1. What is the LCM of 904, 540, 302, 189?
Answer: LCM of 904, 540, 302, 189 is 128996280.
2. How to calculate the LCM of 904, 540, 302, 189?
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 904, 540, 302, 189.
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}.