LCM of 704, 828, 920, 871, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 828, 920, 871, 783 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 704, 828, 920, 871, 783. So, keep reading to learn more.
Given numbers are 704,828,920,871,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,828,920,871,783 is 55214153280.
Find LCM of 704,828,920,871,783 with Prime Factorization
| 2 | 704, 828, 920, 871, 783 |
| 2 | 352, 414, 460, 871, 783 |
| 2 | 176, 207, 230, 871, 783 |
| 3 | 88, 207, 115, 871, 783 |
| 3 | 88, 69, 115, 871, 261 |
| 23 | 88, 23, 115, 871, 87 |
| 88, 1, 5, 871, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 23 x 88 x 1 x 5 x 871 x 87 = 55214153280
Therefore, the lowest common multiple of 704,828,920,871,783 is 55214153280.
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.
704 x 828 x 920 x 871 x 783 = 365738551326720
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
871 : 1, 13, 67, 871
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,828,920,871,783, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
828:2x 2x 3x 3x 23
920:2x 2x 2x 5x 23
871:13x 67
783:3x 3x 3x 29
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 2x 2x 3x 3x 23 = 6624
Therefore, the value for common factors is 6624.
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 = 365738551326720/(1x6624)
LCM = 365738551326720/6624
LCM = 55214153280
Thus, we can understand that the LCM of 704,828,920,871,783 is 55214153280.
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FAQs on LCM of 704, 828, 920, 871, 783
1. What is the LCM of 704, 828, 920, 871, 783?
Answer: LCM of 704, 828, 920, 871, 783 is 55214153280.
2. How to calculate the LCM of 704, 828, 920, 871, 783?
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 704, 828, 920, 871, 783.
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}.