LCM of 705, 564, 471, 285, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 564, 471, 285, 788 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, 564, 471, 285, 788. So, keep reading to learn more.
Given numbers are 705,564,471,285,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,564,471,285,788 is 1657175820.
Find LCM of 705,564,471,285,788 with Prime Factorization
| 2 | 705, 564, 471, 285, 788 |
| 2 | 705, 282, 471, 285, 394 |
| 3 | 705, 141, 471, 285, 197 |
| 5 | 235, 47, 157, 95, 197 |
| 47 | 47, 47, 157, 19, 197 |
| 1, 1, 157, 19, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 1 x 1 x 157 x 19 x 197 = 1657175820
Therefore, the lowest common multiple of 705,564,471,285,788 is 1657175820.
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 564 x 471 x 285 x 788 = 42059122311600
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
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
471 : 1, 3, 157, 471
285 : 1, 3, 5, 15, 19, 57, 95, 285
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,564,471,285,788, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
564:2x 2x 3x 47
471:3x 157
285:3x 5x 19
788:2x 2x 197
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 3x 3x 3x 5x 47 = 25380
Therefore, the value for common factors is 25380.
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 = 42059122311600/(1x25380)
LCM = 42059122311600/25380
LCM = 1657175820
Thus, we can understand that the LCM of 705,564,471,285,788 is 1657175820.
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FAQs on LCM of 705, 564, 471, 285, 788
1. What is the LCM of 705, 564, 471, 285, 788?
Answer: LCM of 705, 564, 471, 285, 788 is 1657175820.
2. How to calculate the LCM of 705, 564, 471, 285, 788?
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, 564, 471, 285, 788.
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}.