LCM of 599, 702, 675, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 702, 675, 345 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 599, 702, 675, 345. So, keep reading to learn more.
Given numbers are 599,702,675,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,702,675,345 is 241786350.
Find LCM of 599,702,675,345 with Prime Factorization
| 3 | 599, 702, 675, 345 |
| 3 | 599, 234, 225, 115 |
| 3 | 599, 78, 75, 115 |
| 5 | 599, 26, 25, 115 |
| 599, 26, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 599 x 26 x 5 x 23 = 241786350
Therefore, the lowest common multiple of 599,702,675,345 is 241786350.
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.
599 x 702 x 675 x 345 = 97923471750
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.
599 : 1, 599
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,702,675,345, is 1.
Now, the common factors can be found like this.
599:599
702:2x 3x 3x 3x 13
675:3x 3x 3x 5x 5
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 97923471750/(1x405)
LCM = 97923471750/405
LCM = 241786350
Thus, we can understand that the LCM of 599,702,675,345 is 241786350.
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FAQs on LCM of 599, 702, 675, 345
1. What is the LCM of 599, 702, 675, 345?
Answer: LCM of 599, 702, 675, 345 is 241786350.
2. How to calculate the LCM of 599, 702, 675, 345?
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 599, 702, 675, 345.
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}.