LCM of 267, 420, 546, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 420, 546, 291 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, 420, 546, 291. So, keep reading to learn more.
Given numbers are 267,420,546,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,420,546,291 is 47136180.
Find LCM of 267,420,546,291 with Prime Factorization
| 2 | 267, 420, 546, 291 |
| 3 | 267, 210, 273, 291 |
| 7 | 89, 70, 91, 97 |
| 89, 10, 13, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 89 x 10 x 13 x 97 = 47136180
Therefore, the lowest common multiple of 267,420,546,291 is 47136180.
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 420 x 546 x 291 = 17817476040
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
291 : 1, 3, 97, 291
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,420,546,291, is 3.
Now, the common factors can be found like this.
267:3x 89
420:2x 2x 3x 5x 7
546:2x 3x 7x 13
291:3x 97
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 7 = 126
Therefore, the value for common factors is 126.
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 = 17817476040/(3x126)
LCM = 17817476040/378
LCM = 47136180
Thus, we can understand that the LCM of 267,420,546,291 is 47136180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 420, 546, 291
1. What is the LCM of 267, 420, 546, 291?
Answer: LCM of 267, 420, 546, 291 is 47136180.
2. How to calculate the LCM of 267, 420, 546, 291?
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, 420, 546, 291.
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}.