LCM of 597, 105, 760, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 105, 760, 414 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 597, 105, 760, 414. So, keep reading to learn more.
Given numbers are 597,105,760,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,105,760,414 is 219146760.
Find LCM of 597,105,760,414 with Prime Factorization
| 2 | 597, 105, 760, 414 |
| 3 | 597, 105, 380, 207 |
| 5 | 199, 35, 380, 69 |
| 199, 7, 76, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 199 x 7 x 76 x 69 = 219146760
Therefore, the lowest common multiple of 597,105,760,414 is 219146760.
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.
597 x 105 x 760 x 414 = 19723208400
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.
597 : 1, 3, 199, 597
105 : 1, 3, 5, 7, 15, 21, 35, 105
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,105,760,414, is 1.
Now, the common factors can be found like this.
597:3x 199
105:3x 5x 7
760:2x 2x 2x 5x 19
414:2x 3x 3x 23
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 5 = 90
Therefore, the value for common factors is 90.
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 = 19723208400/(1x90)
LCM = 19723208400/90
LCM = 219146760
Thus, we can understand that the LCM of 597,105,760,414 is 219146760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 597, 105, 760, 414
1. What is the LCM of 597, 105, 760, 414?
Answer: LCM of 597, 105, 760, 414 is 219146760.
2. How to calculate the LCM of 597, 105, 760, 414?
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 597, 105, 760, 414.
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}.