LCM of 471, 589, 247, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 589, 247, 368 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 471, 589, 247, 368. So, keep reading to learn more.
Given numbers are 471,589,247,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,589,247,368 is 1327172496.
Find LCM of 471,589,247,368 with Prime Factorization
| 19 | 471, 589, 247, 368 |
| 471, 31, 13, 368 |
Multiply the prime numbers at the bottom and the left side.
19 x 471 x 31 x 13 x 368 = 1327172496
Therefore, the lowest common multiple of 471,589,247,368 is 1327172496.
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.
471 x 589 x 247 x 368 = 25216277424
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.
471 : 1, 3, 157, 471
589 : 1, 19, 31, 589
247 : 1, 13, 19, 247
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,589,247,368, is 1.
Now, the common factors can be found like this.
471:3x 157
589:19x 31
247:13x 19
368:2x 2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 25216277424/(1x19)
LCM = 25216277424/19
LCM = 1327172496
Thus, we can understand that the LCM of 471,589,247,368 is 1327172496.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 471, 589, 247, 368
1. What is the LCM of 471, 589, 247, 368?
Answer: LCM of 471, 589, 247, 368 is 1327172496.
2. How to calculate the LCM of 471, 589, 247, 368?
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 471, 589, 247, 368.
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}.