Find the LCM of 764, 807, 807, 486, 763 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, 807, 807, 486, 763. So, keep reading to learn more.
Given numbers are 764,807,807,486,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,807,807,486,763 is 38104516044.
Find LCM of 764,807,807,486,763 with Prime Factorization
2 | 764, 807, 807, 486, 763 |
3 | 382, 807, 807, 243, 763 |
269 | 382, 269, 269, 81, 763 |
382, 1, 1, 81, 763 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 382 x 1 x 1 x 81 x 763 = 38104516044
Therefore, the lowest common multiple of 764,807,807,486,763 is 38104516044.
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 807 x 807 x 486 x 763 = 184502066685048
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
807 : 1, 3, 269, 807
807 : 1, 3, 269, 807
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,807,807,486,763, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
807:3x 269
807:3x 269
486:2x 3x 3x 3x 3x 3
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 269 = 4842
Therefore, the value for common factors is 4842.
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 = 184502066685048/(1x4842)
LCM = 184502066685048/4842
LCM = 38104516044
Thus, we can understand that the LCM of 764,807,807,486,763 is 38104516044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 807, 807, 486, 763?
Answer: LCM of 764, 807, 807, 486, 763 is 38104516044.
2. How to calculate the LCM of 764, 807, 807, 486, 763?
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, 807, 807, 486, 763.
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}.