LCM of 480, 101, 792, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 101, 792, 748 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 480, 101, 792, 748. So, keep reading to learn more.
Given numbers are 480,101,792,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,101,792,748 is 27197280.
Find LCM of 480,101,792,748 with Prime Factorization
| 2 | 480, 101, 792, 748 |
| 2 | 240, 101, 396, 374 |
| 2 | 120, 101, 198, 187 |
| 3 | 60, 101, 99, 187 |
| 11 | 20, 101, 33, 187 |
| 20, 101, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 20 x 101 x 3 x 17 = 27197280
Therefore, the lowest common multiple of 480,101,792,748 is 27197280.
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.
480 x 101 x 792 x 748 = 28720327680
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.
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
101 : 1, 101
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,101,792,748, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
101:101
792:2x 2x 2x 3x 3x 11
748:2x 2x 11x 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 11 = 1056
Therefore, the value for common factors is 1056.
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 = 28720327680/(1x1056)
LCM = 28720327680/1056
LCM = 27197280
Thus, we can understand that the LCM of 480,101,792,748 is 27197280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 480, 101, 792, 748
1. What is the LCM of 480, 101, 792, 748?
Answer: LCM of 480, 101, 792, 748 is 27197280.
2. How to calculate the LCM of 480, 101, 792, 748?
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 480, 101, 792, 748.
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}.