Find the LCM of 747, 762, 822, 772, 103 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 747, 762, 822, 772, 103. So, keep reading to learn more.
Given numbers are 747,762,822,772,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,762,822,772,103 is 1033473666348.
Find LCM of 747,762,822,772,103 with Prime Factorization
2 | 747, 762, 822, 772, 103 |
3 | 747, 381, 411, 386, 103 |
249, 127, 137, 386, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 249 x 127 x 137 x 386 x 103 = 1033473666348
Therefore, the lowest common multiple of 747,762,822,772,103 is 1033473666348.
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.
747 x 762 x 822 x 772 x 103 = 37205051988528
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.
747 : 1, 3, 9, 83, 249, 747
762 : 1, 2, 3, 6, 127, 254, 381, 762
822 : 1, 2, 3, 6, 137, 274, 411, 822
772 : 1, 2, 4, 193, 386, 772
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,762,822,772,103, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
762:2x 3x 127
822:2x 3x 137
772:2x 2x 193
103:103
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 37205051988528/(1x36)
LCM = 37205051988528/36
LCM = 1033473666348
Thus, we can understand that the LCM of 747,762,822,772,103 is 1033473666348.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 762, 822, 772, 103?
Answer: LCM of 747, 762, 822, 772, 103 is 1033473666348.
2. How to calculate the LCM of 747, 762, 822, 772, 103?
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 747, 762, 822, 772, 103.
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}.