LCM of 764, 838, 948, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 838, 948, 803 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, 838, 948, 803. So, keep reading to learn more.
Given numbers are 764,838,948,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,838,948,803 is 60921596076.
Find LCM of 764,838,948,803 with Prime Factorization
| 2 | 764, 838, 948, 803 |
| 2 | 382, 419, 474, 803 |
| 191, 419, 237, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 419 x 237 x 803 = 60921596076
Therefore, the lowest common multiple of 764,838,948,803 is 60921596076.
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 838 x 948 x 803 = 487372768608
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
838 : 1, 2, 419, 838
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,838,948,803, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
838:2x 419
948:2x 2x 3x 79
803:11x 73
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 2 = 8
Therefore, the value for common factors is 8.
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 = 487372768608/(1x8)
LCM = 487372768608/8
LCM = 60921596076
Thus, we can understand that the LCM of 764,838,948,803 is 60921596076.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 764, 838, 948, 803
1. What is the LCM of 764, 838, 948, 803?
Answer: LCM of 764, 838, 948, 803 is 60921596076.
2. How to calculate the LCM of 764, 838, 948, 803?
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, 838, 948, 803.
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}.