Find the LCM of 764, 781, 264, 224 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, 781, 264, 224. So, keep reading to learn more.
Given numbers are 764,781,264,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,781,264,224 is 100242912.
Find LCM of 764,781,264,224 with Prime Factorization
2 | 764, 781, 264, 224 |
2 | 382, 781, 132, 112 |
2 | 191, 781, 66, 56 |
11 | 191, 781, 33, 28 |
191, 71, 3, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 191 x 71 x 3 x 28 = 100242912
Therefore, the lowest common multiple of 764,781,264,224 is 100242912.
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 781 x 264 x 224 = 35285505024
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
781 : 1, 11, 71, 781
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,781,264,224, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
781:11x 71
264:2x 2x 2x 3x 11
224:2x 2x 2x 2x 2x 7
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 11 = 352
Therefore, the value for common factors is 352.
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 = 35285505024/(1x352)
LCM = 35285505024/352
LCM = 100242912
Thus, we can understand that the LCM of 764,781,264,224 is 100242912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 781, 264, 224?
Answer: LCM of 764, 781, 264, 224 is 100242912.
2. How to calculate the LCM of 764, 781, 264, 224?
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, 781, 264, 224.
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}.