LCM of 192, 264, 120, 690, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 264, 120, 690, 514 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 192, 264, 120, 690, 514. So, keep reading to learn more.
Given numbers are 192,264,120,690,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,264,120,690,514 is 62420160.
Find LCM of 192,264,120,690,514 with Prime Factorization
| 2 | 192, 264, 120, 690, 514 |
| 2 | 96, 132, 60, 345, 257 |
| 2 | 48, 66, 30, 345, 257 |
| 3 | 24, 33, 15, 345, 257 |
| 5 | 8, 11, 5, 115, 257 |
| 8, 11, 1, 23, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 8 x 11 x 1 x 23 x 257 = 62420160
Therefore, the lowest common multiple of 192,264,120,690,514 is 62420160.
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.
192 x 264 x 120 x 690 x 514 = 2157240729600
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,264,120,690,514, is 2.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
264:2x 2x 2x 3x 11
120:2x 2x 2x 3x 5
690:2x 3x 5x 23
514:2x 257
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 2x 2x 2x 2x 2x 3x 3x 3x 5 = 17280
Therefore, the value for common factors is 17280.
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 = 2157240729600/(2x17280)
LCM = 2157240729600/34560
LCM = 62420160
Thus, we can understand that the LCM of 192,264,120,690,514 is 62420160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 192, 264, 120, 690, 514
1. What is the LCM of 192, 264, 120, 690, 514?
Answer: LCM of 192, 264, 120, 690, 514 is 62420160.
2. How to calculate the LCM of 192, 264, 120, 690, 514?
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 192, 264, 120, 690, 514.
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}.