LCM of 292, 309, 371, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 309, 371, 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 292, 309, 371, 822. So, keep reading to learn more.
Given numbers are 292,309,371,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,309,371,822 is 4586018556.
Find LCM of 292,309,371,822 with Prime Factorization
| 2 | 292, 309, 371, 822 |
| 3 | 146, 309, 371, 411 |
| 146, 103, 371, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 146 x 103 x 371 x 137 = 4586018556
Therefore, the lowest common multiple of 292,309,371,822 is 4586018556.
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.
292 x 309 x 371 x 822 = 27516111336
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.
292 : 1, 2, 4, 73, 146, 292
309 : 1, 3, 103, 309
371 : 1, 7, 53, 371
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 292,309,371,822, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
309:3x 103
371:7x 53
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 3 = 6
Therefore, the value for common factors is 6.
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 = 27516111336/(1x6)
LCM = 27516111336/6
LCM = 4586018556
Thus, we can understand that the LCM of 292,309,371,822 is 4586018556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 309, 371, 822
1. What is the LCM of 292, 309, 371, 822?
Answer: LCM of 292, 309, 371, 822 is 4586018556.
2. How to calculate the LCM of 292, 309, 371, 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 292, 309, 371, 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}.