Find the LCM of 705, 635, 498, 564, 705 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, 635, 498, 564, 705. So, keep reading to learn more.
Given numbers are 705,635,498,564,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,635,498,564,705 is 29725620.
Find LCM of 705,635,498,564,705 with Prime Factorization
2 | 705, 635, 498, 564, 705 |
3 | 705, 635, 249, 282, 705 |
5 | 235, 635, 83, 94, 235 |
47 | 47, 127, 83, 94, 47 |
1, 127, 83, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 1 x 127 x 83 x 2 x 1 = 29725620
Therefore, the lowest common multiple of 705,635,498,564,705 is 29725620.
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 635 x 498 x 564 x 705 = 88646257683000
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
635 : 1, 5, 127, 635
498 : 1, 2, 3, 6, 83, 166, 249, 498
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,635,498,564,705, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
635:5x 127
498:2x 3x 83
564:2x 2x 3x 47
705:3x 5x 47
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 3x 3x 5x 5x 47x 47 = 2982150
Therefore, the value for common factors is 2982150.
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 = 88646257683000/(1x2982150)
LCM = 88646257683000/2982150
LCM = 29725620
Thus, we can understand that the LCM of 705,635,498,564,705 is 29725620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 635, 498, 564, 705?
Answer: LCM of 705, 635, 498, 564, 705 is 29725620.
2. How to calculate the LCM of 705, 635, 498, 564, 705?
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, 635, 498, 564, 705.
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}.