LCM of 765, 423, 660, 517, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 423, 660, 517, 738 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, 423, 660, 517, 738. So, keep reading to learn more.
Given numbers are 765,423,660,517,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,423,660,517,738 is 64862820.
Find LCM of 765,423,660,517,738 with Prime Factorization
| 2 | 765, 423, 660, 517, 738 |
| 3 | 765, 423, 330, 517, 369 |
| 3 | 255, 141, 110, 517, 123 |
| 5 | 85, 47, 110, 517, 41 |
| 11 | 17, 47, 22, 517, 41 |
| 47 | 17, 47, 2, 47, 41 |
| 17, 1, 2, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 47 x 17 x 1 x 2 x 1 x 41 = 64862820
Therefore, the lowest common multiple of 765,423,660,517,738 is 64862820.
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 423 x 660 x 517 x 738 = 81487809394200
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
423 : 1, 3, 9, 47, 141, 423
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
517 : 1, 11, 47, 517
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,423,660,517,738, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
423:3x 3x 47
660:2x 2x 3x 5x 11
517:11x 47
738:2x 3x 3x 41
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 3x 3x 3x 5x 11x 47 = 1256310
Therefore, the value for common factors is 1256310.
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 = 81487809394200/(1x1256310)
LCM = 81487809394200/1256310
LCM = 64862820
Thus, we can understand that the LCM of 765,423,660,517,738 is 64862820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 423, 660, 517, 738
1. What is the LCM of 765, 423, 660, 517, 738?
Answer: LCM of 765, 423, 660, 517, 738 is 64862820.
2. How to calculate the LCM of 765, 423, 660, 517, 738?
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, 423, 660, 517, 738.
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}.