LCM of 202, 762, 168, 896, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 762, 168, 896, 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 202, 762, 168, 896, 189. So, keep reading to learn more.
Given numbers are 202,762,168,896,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,762,168,896,189 is 310310784.
Find LCM of 202,762,168,896,189 with Prime Factorization
| 2 | 202, 762, 168, 896, 189 |
| 2 | 101, 381, 84, 448, 189 |
| 2 | 101, 381, 42, 224, 189 |
| 3 | 101, 381, 21, 112, 189 |
| 7 | 101, 127, 7, 112, 63 |
| 101, 127, 1, 16, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 101 x 127 x 1 x 16 x 9 = 310310784
Therefore, the lowest common multiple of 202,762,168,896,189 is 310310784.
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.
202 x 762 x 168 x 896 x 189 = 4379105783808
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.
202 : 1, 2, 101, 202
762 : 1, 2, 3, 6, 127, 254, 381, 762
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
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 202,762,168,896,189, is 1.
Now, the common factors can be found like this.
202:2x 101
762:2x 3x 127
168:2x 2x 2x 3x 7
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 2x 3x 3x 7x 7 = 14112
Therefore, the value for common factors is 14112.
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 = 4379105783808/(1x14112)
LCM = 4379105783808/14112
LCM = 310310784
Thus, we can understand that the LCM of 202,762,168,896,189 is 310310784.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 202, 762, 168, 896, 189
1. What is the LCM of 202, 762, 168, 896, 189?
Answer: LCM of 202, 762, 168, 896, 189 is 310310784.
2. How to calculate the LCM of 202, 762, 168, 896, 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 202, 762, 168, 896, 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}.