Find the LCM of 705, 856, 874, 420, 469 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, 856, 874, 420, 469. So, keep reading to learn more.
Given numbers are 705,856,874,420,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,856,874,420,469 is 123685036440.
Find LCM of 705,856,874,420,469 with Prime Factorization
2 | 705, 856, 874, 420, 469 |
2 | 705, 428, 437, 210, 469 |
3 | 705, 214, 437, 105, 469 |
5 | 235, 214, 437, 35, 469 |
7 | 47, 214, 437, 7, 469 |
47, 214, 437, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 47 x 214 x 437 x 1 x 67 = 123685036440
Therefore, the lowest common multiple of 705,856,874,420,469 is 123685036440.
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 856 x 874 x 420 x 469 = 103895430609600
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
874 : 1, 2, 19, 23, 38, 46, 437, 874
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,856,874,420,469, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
856:2x 2x 2x 107
874:2x 19x 23
420:2x 2x 3x 5x 7
469:7x 67
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 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 103895430609600/(1x840)
LCM = 103895430609600/840
LCM = 123685036440
Thus, we can understand that the LCM of 705,856,874,420,469 is 123685036440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 856, 874, 420, 469?
Answer: LCM of 705, 856, 874, 420, 469 is 123685036440.
2. How to calculate the LCM of 705, 856, 874, 420, 469?
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, 856, 874, 420, 469.
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}.