Find the LCM of 626, 744, 824, 747, 480 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 626, 744, 824, 747, 480. So, keep reading to learn more.
Given numbers are 626,744,824,747,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,744,824,747,480 is 119449363680.
Find LCM of 626,744,824,747,480 with Prime Factorization
2 | 626, 744, 824, 747, 480 |
2 | 313, 372, 412, 747, 240 |
2 | 313, 186, 206, 747, 120 |
3 | 313, 93, 103, 747, 60 |
313, 31, 103, 249, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 313 x 31 x 103 x 249 x 20 = 119449363680
Therefore, the lowest common multiple of 626,744,824,747,480 is 119449363680.
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.
626 x 744 x 824 x 747 x 480 = 137605666959360
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.
626 : 1, 2, 313, 626
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
824 : 1, 2, 4, 8, 103, 206, 412, 824
747 : 1, 3, 9, 83, 249, 747
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,744,824,747,480, is 1.
Now, the common factors can be found like this.
626:2x 313
744:2x 2x 2x 3x 31
824:2x 2x 2x 103
747:3x 3x 83
480:2x 2x 2x 2x 2x 3x 5
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 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 137605666959360/(1x1152)
LCM = 137605666959360/1152
LCM = 119449363680
Thus, we can understand that the LCM of 626,744,824,747,480 is 119449363680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 626, 744, 824, 747, 480?
Answer: LCM of 626, 744, 824, 747, 480 is 119449363680.
2. How to calculate the LCM of 626, 744, 824, 747, 480?
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 626, 744, 824, 747, 480.
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}.