LCM of 705, 387, 879, 516, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 387, 879, 516, 759 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 705, 387, 879, 516, 759. So, keep reading to learn more.
Given numbers are 705,387,879,516,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,387,879,516,759 is 26966647620.
Find LCM of 705,387,879,516,759 with Prime Factorization
| 3 | 705, 387, 879, 516, 759 |
| 43 | 235, 129, 293, 172, 253 |
| 235, 3, 293, 4, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 235 x 3 x 293 x 4 x 253 = 26966647620
Therefore, the lowest common multiple of 705,387,879,516,759 is 26966647620.
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.
705 x 387 x 879 x 516 x 759 = 93924833660460
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
387 : 1, 3, 9, 43, 129, 387
879 : 1, 3, 293, 879
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
759 : 1, 3, 11, 23, 33, 69, 253, 759
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,387,879,516,759, is 3.
Now, the common factors can be found like this.
705:3x 5x 47
387:3x 3x 43
879:3x 293
516:2x 2x 3x 43
759:3x 11x 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 43 = 1161
Therefore, the value for common factors is 1161.
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 = 93924833660460/(3x1161)
LCM = 93924833660460/3483
LCM = 26966647620
Thus, we can understand that the LCM of 705,387,879,516,759 is 26966647620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 387, 879, 516, 759
1. What is the LCM of 705, 387, 879, 516, 759?
Answer: LCM of 705, 387, 879, 516, 759 is 26966647620.
2. How to calculate the LCM of 705, 387, 879, 516, 759?
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 705, 387, 879, 516, 759.
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}.