Find the LCM of 186, 756, 306, 708 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 186, 756, 306, 708. So, keep reading to learn more.
Given numbers are 186,756,306,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,756,306,708 is 23506308.
Find LCM of 186,756,306,708 with Prime Factorization
2 | 186, 756, 306, 708 |
2 | 93, 378, 153, 354 |
3 | 93, 189, 153, 177 |
3 | 31, 63, 51, 59 |
31, 21, 17, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 31 x 21 x 17 x 59 = 23506308
Therefore, the lowest common multiple of 186,756,306,708 is 23506308.
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.
186 x 756 x 306 x 708 = 30464175168
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,756,306,708, is 6.
Now, the common factors can be found like this.
186:2x 3x 31
756:2x 2x 3x 3x 3x 7
306:2x 3x 3x 17
708:2x 2x 3x 59
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 30464175168/(6x216)
LCM = 30464175168/1296
LCM = 23506308
Thus, we can understand that the LCM of 186,756,306,708 is 23506308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 186, 756, 306, 708?
Answer: LCM of 186, 756, 306, 708 is 23506308.
2. How to calculate the LCM of 186, 756, 306, 708?
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 186, 756, 306, 708.
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}.