LCM of 510, 405, 374, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 405, 374, 763 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 510, 405, 374, 763. So, keep reading to learn more.
Given numbers are 510,405,374,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,405,374,763 is 115571610.
Find LCM of 510,405,374,763 with Prime Factorization
| 2 | 510, 405, 374, 763 |
| 3 | 255, 405, 187, 763 |
| 5 | 85, 135, 187, 763 |
| 17 | 17, 27, 187, 763 |
| 1, 27, 11, 763 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 1 x 27 x 11 x 763 = 115571610
Therefore, the lowest common multiple of 510,405,374,763 is 115571610.
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.
510 x 405 x 374 x 763 = 58941521100
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
374 : 1, 2, 11, 17, 22, 34, 187, 374
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,405,374,763, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
405:3x 3x 3x 3x 5
374:2x 11x 17
763:7x 109
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 58941521100/(1x510)
LCM = 58941521100/510
LCM = 115571610
Thus, we can understand that the LCM of 510,405,374,763 is 115571610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 405, 374, 763
1. What is the LCM of 510, 405, 374, 763?
Answer: LCM of 510, 405, 374, 763 is 115571610.
2. How to calculate the LCM of 510, 405, 374, 763?
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 510, 405, 374, 763.
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}.