Find the LCM of 132, 694, 772, 772, 102 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 132, 694, 772, 772, 102. So, keep reading to learn more.
Given numbers are 132,694,772,772,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,694,772,772,102 is 150282924.
Find LCM of 132,694,772,772,102 with Prime Factorization
2 | 132, 694, 772, 772, 102 |
2 | 66, 347, 386, 386, 51 |
3 | 33, 347, 193, 193, 51 |
193 | 11, 347, 193, 193, 17 |
11, 347, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 11 x 347 x 1 x 1 x 17 = 150282924
Therefore, the lowest common multiple of 132,694,772,772,102 is 150282924.
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.
132 x 694 x 772 x 772 x 102 = 5568884031744
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
694 : 1, 2, 347, 694
772 : 1, 2, 4, 193, 386, 772
772 : 1, 2, 4, 193, 386, 772
102 : 1, 2, 3, 6, 17, 34, 51, 102
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,694,772,772,102, is 2.
Now, the common factors can be found like this.
132:2x 2x 3x 11
694:2x 347
772:2x 2x 193
772:2x 2x 193
102:2x 3x 17
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 193 = 18528
Therefore, the value for common factors is 18528.
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 = 5568884031744/(2x18528)
LCM = 5568884031744/37056
LCM = 150282924
Thus, we can understand that the LCM of 132,694,772,772,102 is 150282924.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 132, 694, 772, 772, 102?
Answer: LCM of 132, 694, 772, 772, 102 is 150282924.
2. How to calculate the LCM of 132, 694, 772, 772, 102?
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 132, 694, 772, 772, 102.
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}.