LCM of 692, 121, 429, 504, 267
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 121, 429, 504, 267 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 692, 121, 429, 504, 267. So, keep reading to learn more.
Given numbers are 692,121,429,504,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,121,429,504,267 is 12206618424.
Find LCM of 692,121,429,504,267 with Prime Factorization
| 2 | 692, 121, 429, 504, 267 |
| 2 | 346, 121, 429, 252, 267 |
| 3 | 173, 121, 429, 126, 267 |
| 11 | 173, 121, 143, 42, 89 |
| 173, 11, 13, 42, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 173 x 11 x 13 x 42 x 89 = 12206618424
Therefore, the lowest common multiple of 692,121,429,504,267 is 12206618424.
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.
692 x 121 x 429 x 504 x 267 = 4833820895904
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.
692 : 1, 2, 4, 173, 346, 692
121 : 1, 11, 121
429 : 1, 3, 11, 13, 33, 39, 143, 429
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
267 : 1, 3, 89, 267
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,121,429,504,267, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
121:11x 11
429:3x 11x 13
504:2x 2x 2x 3x 3x 7
267:3x 89
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 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 4833820895904/(1x396)
LCM = 4833820895904/396
LCM = 12206618424
Thus, we can understand that the LCM of 692,121,429,504,267 is 12206618424.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 692, 121, 429, 504, 267
1. What is the LCM of 692, 121, 429, 504, 267?
Answer: LCM of 692, 121, 429, 504, 267 is 12206618424.
2. How to calculate the LCM of 692, 121, 429, 504, 267?
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 692, 121, 429, 504, 267.
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}.