LCM of 262, 690, 198, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 690, 198, 567 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 262, 690, 198, 567. So, keep reading to learn more.
Given numbers are 262,690,198,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,690,198,567 is 187920810.
Find LCM of 262,690,198,567 with Prime Factorization
| 2 | 262, 690, 198, 567 |
| 3 | 131, 345, 99, 567 |
| 3 | 131, 115, 33, 189 |
| 131, 115, 11, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 131 x 115 x 11 x 63 = 187920810
Therefore, the lowest common multiple of 262,690,198,567 is 187920810.
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.
262 x 690 x 198 x 567 = 20295447480
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.
262 : 1, 2, 131, 262
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,690,198,567, is 1.
Now, the common factors can be found like this.
262:2x 131
690:2x 3x 5x 23
198:2x 3x 3x 11
567:3x 3x 3x 3x 7
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 3 = 108
Therefore, the value for common factors is 108.
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 = 20295447480/(1x108)
LCM = 20295447480/108
LCM = 187920810
Thus, we can understand that the LCM of 262,690,198,567 is 187920810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 690, 198, 567
1. What is the LCM of 262, 690, 198, 567?
Answer: LCM of 262, 690, 198, 567 is 187920810.
2. How to calculate the LCM of 262, 690, 198, 567?
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 262, 690, 198, 567.
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}.