LCM of 765, 605, 513, 423, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 605, 513, 423, 467 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 765, 605, 513, 423, 467. So, keep reading to learn more.
Given numbers are 765,605,513,423,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,605,513,423,467 is 115807423545.
Find LCM of 765,605,513,423,467 with Prime Factorization
| 3 | 765, 605, 513, 423, 467 |
| 3 | 255, 605, 171, 141, 467 |
| 5 | 85, 605, 57, 47, 467 |
| 17, 121, 57, 47, 467 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 121 x 57 x 47 x 467 = 115807423545
Therefore, the lowest common multiple of 765,605,513,423,467 is 115807423545.
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.
765 x 605 x 513 x 423 x 467 = 46902006535725
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
605 : 1, 5, 11, 55, 121, 605
513 : 1, 3, 9, 19, 27, 57, 171, 513
423 : 1, 3, 9, 47, 141, 423
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,605,513,423,467, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
605:5x 11x 11
513:3x 3x 3x 19
423:3x 3x 47
467:467
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 = 46902006535725/(1x405)
LCM = 46902006535725/405
LCM = 115807423545
Thus, we can understand that the LCM of 765,605,513,423,467 is 115807423545.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 605, 513, 423, 467
1. What is the LCM of 765, 605, 513, 423, 467?
Answer: LCM of 765, 605, 513, 423, 467 is 115807423545.
2. How to calculate the LCM of 765, 605, 513, 423, 467?
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 765, 605, 513, 423, 467.
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}.