LCM of 828, 401, 348, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 401, 348, 667 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 828, 401, 348, 667. So, keep reading to learn more.
Given numbers are 828,401,348,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,401,348,667 is 9628812.
Find LCM of 828,401,348,667 with Prime Factorization
| 2 | 828, 401, 348, 667 |
| 2 | 414, 401, 174, 667 |
| 3 | 207, 401, 87, 667 |
| 23 | 69, 401, 29, 667 |
| 29 | 3, 401, 29, 29 |
| 3, 401, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 29 x 3 x 401 x 1 x 1 = 9628812
Therefore, the lowest common multiple of 828,401,348,667 is 9628812.
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.
828 x 401 x 348 x 667 = 77069011248
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
401 : 1, 401
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,401,348,667, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
401:401
348:2x 2x 3x 29
667:23x 29
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 3x 23x 29 = 8004
Therefore, the value for common factors is 8004.
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 = 77069011248/(1x8004)
LCM = 77069011248/8004
LCM = 9628812
Thus, we can understand that the LCM of 828,401,348,667 is 9628812.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 828, 401, 348, 667
1. What is the LCM of 828, 401, 348, 667?
Answer: LCM of 828, 401, 348, 667 is 9628812.
2. How to calculate the LCM of 828, 401, 348, 667?
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 828, 401, 348, 667.
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}.