LCM of 267, 491, 969, 570, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 491, 969, 570, 822 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, 491, 969, 570, 822. So, keep reading to learn more.
Given numbers are 267,491,969,570,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,491,969,570,822 is 58011733470.
Find LCM of 267,491,969,570,822 with Prime Factorization
| 2 | 267, 491, 969, 570, 822 |
| 3 | 267, 491, 969, 285, 411 |
| 19 | 89, 491, 323, 95, 137 |
| 89, 491, 17, 5, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 89 x 491 x 17 x 5 x 137 = 58011733470
Therefore, the lowest common multiple of 267,491,969,570,822 is 58011733470.
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 491 x 969 x 570 x 822 = 59520038540220
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
491 : 1, 491
969 : 1, 3, 17, 19, 51, 57, 323, 969
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,491,969,570,822, is 1.
Now, the common factors can be found like this.
267:3x 89
491:491
969:3x 17x 19
570:2x 3x 5x 19
822:2x 3x 137
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 3x 19 = 1026
Therefore, the value for common factors is 1026.
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 = 59520038540220/(1x1026)
LCM = 59520038540220/1026
LCM = 58011733470
Thus, we can understand that the LCM of 267,491,969,570,822 is 58011733470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 491, 969, 570, 822
1. What is the LCM of 267, 491, 969, 570, 822?
Answer: LCM of 267, 491, 969, 570, 822 is 58011733470.
2. How to calculate the LCM of 267, 491, 969, 570, 822?
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, 491, 969, 570, 822.
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}.