LCM of 152, 221, 847, 384, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 221, 847, 384, 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 152, 221, 847, 384, 189. So, keep reading to learn more.
Given numbers are 152,221,847,384,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,221,847,384,189 is 12291447168.
Find LCM of 152,221,847,384,189 with Prime Factorization
| 2 | 152, 221, 847, 384, 189 |
| 2 | 76, 221, 847, 192, 189 |
| 2 | 38, 221, 847, 96, 189 |
| 3 | 19, 221, 847, 48, 189 |
| 7 | 19, 221, 847, 16, 63 |
| 19, 221, 121, 16, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 221 x 121 x 16 x 9 = 12291447168
Therefore, the lowest common multiple of 152,221,847,384,189 is 12291447168.
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.
152 x 221 x 847 x 384 x 189 = 2064963124224
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
221 : 1, 13, 17, 221
847 : 1, 7, 11, 77, 121, 847
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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 152,221,847,384,189, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
221:13x 17
847:7x 11x 11
384:2x 2x 2x 2x 2x 2x 2x 3
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 7 = 168
Therefore, the value for common factors is 168.
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 = 2064963124224/(1x168)
LCM = 2064963124224/168
LCM = 12291447168
Thus, we can understand that the LCM of 152,221,847,384,189 is 12291447168.
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FAQs on LCM of 152, 221, 847, 384, 189
1. What is the LCM of 152, 221, 847, 384, 189?
Answer: LCM of 152, 221, 847, 384, 189 is 12291447168.
2. How to calculate the LCM of 152, 221, 847, 384, 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 152, 221, 847, 384, 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}.