LCM of 267, 806, 429, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 806, 429, 348 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 267, 806, 429, 348. So, keep reading to learn more.
Given numbers are 267,806,429,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,806,429,348 is 137298876.
Find LCM of 267,806,429,348 with Prime Factorization
| 2 | 267, 806, 429, 348 |
| 3 | 267, 403, 429, 174 |
| 13 | 89, 403, 143, 58 |
| 89, 31, 11, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 89 x 31 x 11 x 58 = 137298876
Therefore, the lowest common multiple of 267,806,429,348 is 137298876.
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.
267 x 806 x 429 x 348 = 32127936984
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.
267 : 1, 3, 89, 267
806 : 1, 2, 13, 26, 31, 62, 403, 806
429 : 1, 3, 11, 13, 33, 39, 143, 429
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,806,429,348, is 1.
Now, the common factors can be found like this.
267:3x 89
806:2x 13x 31
429:3x 11x 13
348:2x 2x 3x 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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 32127936984/(1x234)
LCM = 32127936984/234
LCM = 137298876
Thus, we can understand that the LCM of 267,806,429,348 is 137298876.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 806, 429, 348
1. What is the LCM of 267, 806, 429, 348?
Answer: LCM of 267, 806, 429, 348 is 137298876.
2. How to calculate the LCM of 267, 806, 429, 348?
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 267, 806, 429, 348.
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}.