LCM of 765, 706, 415, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 706, 415, 102 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, 706, 415, 102. So, keep reading to learn more.
Given numbers are 765,706,415,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,706,415,102 is 44827470.
Find LCM of 765,706,415,102 with Prime Factorization
| 2 | 765, 706, 415, 102 |
| 3 | 765, 353, 415, 51 |
| 5 | 255, 353, 415, 17 |
| 17 | 51, 353, 83, 17 |
| 3, 353, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 3 x 353 x 83 x 1 = 44827470
Therefore, the lowest common multiple of 765,706,415,102 is 44827470.
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 706 x 415 x 102 = 22862009700
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
706 : 1, 2, 353, 706
415 : 1, 5, 83, 415
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,706,415,102, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
706:2x 353
415:5x 83
102:2x 3x 17
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 = 22862009700/(1x510)
LCM = 22862009700/510
LCM = 44827470
Thus, we can understand that the LCM of 765,706,415,102 is 44827470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 706, 415, 102
1. What is the LCM of 765, 706, 415, 102?
Answer: LCM of 765, 706, 415, 102 is 44827470.
2. How to calculate the LCM of 765, 706, 415, 102?
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, 706, 415, 102.
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}.