LCM of 705, 765, 874, 676, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 765, 874, 676, 864 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, 765, 874, 676, 864. So, keep reading to learn more.
Given numbers are 705,765,874,676,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,765,874,676,864 is 254916923040.
Find LCM of 705,765,874,676,864 with Prime Factorization
| 2 | 705, 765, 874, 676, 864 |
| 2 | 705, 765, 437, 338, 432 |
| 3 | 705, 765, 437, 169, 216 |
| 3 | 235, 255, 437, 169, 72 |
| 5 | 235, 85, 437, 169, 24 |
| 47, 17, 437, 169, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 47 x 17 x 437 x 169 x 24 = 254916923040
Therefore, the lowest common multiple of 705,765,874,676,864 is 254916923040.
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 765 x 874 x 676 x 864 = 275310276883200
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
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
874 : 1, 2, 19, 23, 38, 46, 437, 874
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,765,874,676,864, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
765:3x 3x 5x 17
874:2x 19x 23
676:2x 2x 13x 13
864:2x 2x 2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 275310276883200/(1x1080)
LCM = 275310276883200/1080
LCM = 254916923040
Thus, we can understand that the LCM of 705,765,874,676,864 is 254916923040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 765, 874, 676, 864
1. What is the LCM of 705, 765, 874, 676, 864?
Answer: LCM of 705, 765, 874, 676, 864 is 254916923040.
2. How to calculate the LCM of 705, 765, 874, 676, 864?
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, 765, 874, 676, 864.
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}.