Find the LCM of 705, 508, 300, 696, 178 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, 508, 300, 696, 178. So, keep reading to learn more.
Given numbers are 705,508,300,696,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,508,300,696,178 is 9243593400.
Find LCM of 705,508,300,696,178 with Prime Factorization
2 | 705, 508, 300, 696, 178 |
2 | 705, 254, 150, 348, 89 |
3 | 705, 127, 75, 174, 89 |
5 | 235, 127, 25, 58, 89 |
47, 127, 5, 58, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 127 x 5 x 58 x 89 = 9243593400
Therefore, the lowest common multiple of 705,508,300,696,178 is 9243593400.
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 508 x 300 x 696 x 178 = 13310774496000
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
508 : 1, 2, 4, 127, 254, 508
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,508,300,696,178, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
508:2x 2x 127
300:2x 2x 3x 5x 5
696:2x 2x 2x 3x 29
178:2x 89
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 5 = 1440
Therefore, the value for common factors is 1440.
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 = 13310774496000/(1x1440)
LCM = 13310774496000/1440
LCM = 9243593400
Thus, we can understand that the LCM of 705,508,300,696,178 is 9243593400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 508, 300, 696, 178?
Answer: LCM of 705, 508, 300, 696, 178 is 9243593400.
2. How to calculate the LCM of 705, 508, 300, 696, 178?
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, 508, 300, 696, 178.
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}.