Find the LCM of 967, 544, 764, 748, 480 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 967, 544, 764, 748, 480. So, keep reading to learn more.
Given numbers are 967,544,764,748,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,544,764,748,480 is 16578402720.
Find LCM of 967,544,764,748,480 with Prime Factorization
2 | 967, 544, 764, 748, 480 |
2 | 967, 272, 382, 374, 240 |
2 | 967, 136, 191, 187, 120 |
2 | 967, 68, 191, 187, 60 |
2 | 967, 34, 191, 187, 30 |
17 | 967, 17, 191, 187, 15 |
967, 1, 191, 11, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 967 x 1 x 191 x 11 x 15 = 16578402720
Therefore, the lowest common multiple of 967,544,764,748,480 is 16578402720.
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.
967 x 544 x 764 x 748 x 480 = 144298417274880
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.
967 : 1, 967
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
764 : 1, 2, 4, 191, 382, 764
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,544,764,748,480, is 1.
Now, the common factors can be found like this.
967:967
544:2x 2x 2x 2x 2x 17
764:2x 2x 191
748:2x 2x 11x 17
480:2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 17 = 8704
Therefore, the value for common factors is 8704.
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 = 144298417274880/(1x8704)
LCM = 144298417274880/8704
LCM = 16578402720
Thus, we can understand that the LCM of 967,544,764,748,480 is 16578402720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 544, 764, 748, 480?
Answer: LCM of 967, 544, 764, 748, 480 is 16578402720.
2. How to calculate the LCM of 967, 544, 764, 748, 480?
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 967, 544, 764, 748, 480.
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}.