LCM of 101, 764, 305, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 764, 305, 488 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 101, 764, 305, 488. So, keep reading to learn more.
Given numbers are 101,764,305,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,764,305,488 is 47070040.
Find LCM of 101,764,305,488 with Prime Factorization
| 2 | 101, 764, 305, 488 |
| 2 | 101, 382, 305, 244 |
| 61 | 101, 191, 305, 122 |
| 101, 191, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 101 x 191 x 5 x 2 = 47070040
Therefore, the lowest common multiple of 101,764,305,488 is 47070040.
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.
101 x 764 x 305 x 488 = 11485089760
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.
101 : 1, 101
764 : 1, 2, 4, 191, 382, 764
305 : 1, 5, 61, 305
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,764,305,488, is 1.
Now, the common factors can be found like this.
101:101
764:2x 2x 191
305:5x 61
488:2x 2x 2x 61
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 61 = 244
Therefore, the value for common factors is 244.
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 = 11485089760/(1x244)
LCM = 11485089760/244
LCM = 47070040
Thus, we can understand that the LCM of 101,764,305,488 is 47070040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 101, 764, 305, 488
1. What is the LCM of 101, 764, 305, 488?
Answer: LCM of 101, 764, 305, 488 is 47070040.
2. How to calculate the LCM of 101, 764, 305, 488?
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 101, 764, 305, 488.
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}.