LCM of 466, 152, 184, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 466, 152, 184, 874 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 466, 152, 184, 874. So, keep reading to learn more.
Given numbers are 466,152,184,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,152,184,874 is 814568.
Find LCM of 466,152,184,874 with Prime Factorization
| 2 | 466, 152, 184, 874 |
| 2 | 233, 76, 92, 437 |
| 2 | 233, 38, 46, 437 |
| 19 | 233, 19, 23, 437 |
| 23 | 233, 1, 23, 23 |
| 233, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 23 x 233 x 1 x 1 x 1 = 814568
Therefore, the lowest common multiple of 466,152,184,874 is 814568.
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.
466 x 152 x 184 x 874 = 11390918912
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.
466 : 1, 2, 233, 466
152 : 1, 2, 4, 8, 19, 38, 76, 152
184 : 1, 2, 4, 8, 23, 46, 92, 184
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,152,184,874, is 2.
Now, the common factors can be found like this.
466:2x 233
152:2x 2x 2x 19
184:2x 2x 2x 23
874:2x 19x 23
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 19x 23 = 6992
Therefore, the value for common factors is 6992.
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 = 11390918912/(2x6992)
LCM = 11390918912/13984
LCM = 814568
Thus, we can understand that the LCM of 466,152,184,874 is 814568.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 466, 152, 184, 874
1. What is the LCM of 466, 152, 184, 874?
Answer: LCM of 466, 152, 184, 874 is 814568.
2. How to calculate the LCM of 466, 152, 184, 874?
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 466, 152, 184, 874.
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}.