Find the LCM of 764, 945, 670, 605, 264 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 764, 945, 670, 605, 264. So, keep reading to learn more.
Given numbers are 764,945,670,605,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,945,670,605,264 is 11706183720.
Find LCM of 764,945,670,605,264 with Prime Factorization
2 | 764, 945, 670, 605, 264 |
2 | 382, 945, 335, 605, 132 |
3 | 191, 945, 335, 605, 66 |
5 | 191, 315, 335, 605, 22 |
11 | 191, 63, 67, 121, 22 |
191, 63, 67, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 191 x 63 x 67 x 11 x 2 = 11706183720
Therefore, the lowest common multiple of 764,945,670,605,264 is 11706183720.
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.
764 x 945 x 670 x 605 x 264 = 77260812552000
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.
764 : 1, 2, 4, 191, 382, 764
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
670 : 1, 2, 5, 10, 67, 134, 335, 670
605 : 1, 5, 11, 55, 121, 605
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,945,670,605,264, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
945:3x 3x 3x 5x 7
670:2x 5x 67
605:5x 11x 11
264:2x 2x 2x 3x 11
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 5x 11 = 6600
Therefore, the value for common factors is 6600.
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 = 77260812552000/(1x6600)
LCM = 77260812552000/6600
LCM = 11706183720
Thus, we can understand that the LCM of 764,945,670,605,264 is 11706183720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 945, 670, 605, 264?
Answer: LCM of 764, 945, 670, 605, 264 is 11706183720.
2. How to calculate the LCM of 764, 945, 670, 605, 264?
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 764, 945, 670, 605, 264.
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}.