Find the LCM of 749, 640, 627, 686, 264 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 749, 640, 627, 686, 264. So, keep reading to learn more.
Given numbers are 749,640,627,686,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,640,627,686,264 is 14727377280.
Find LCM of 749,640,627,686,264 with Prime Factorization
2 | 749, 640, 627, 686, 264 |
2 | 749, 320, 627, 343, 132 |
2 | 749, 160, 627, 343, 66 |
3 | 749, 80, 627, 343, 33 |
7 | 749, 80, 209, 343, 11 |
11 | 107, 80, 209, 49, 11 |
107, 80, 19, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 107 x 80 x 19 x 49 x 1 = 14727377280
Therefore, the lowest common multiple of 749,640,627,686,264 is 14727377280.
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.
749 x 640 x 627 x 686 x 264 = 54432386426880
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.
749 : 1, 7, 107, 749
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
627 : 1, 3, 11, 19, 33, 57, 209, 627
686 : 1, 2, 7, 14, 49, 98, 343, 686
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,640,627,686,264, is 1.
Now, the common factors can be found like this.
749:7x 107
640:2x 2x 2x 2x 2x 2x 2x 5
627:3x 11x 19
686:2x 7x 7x 7
264:2x 2x 2x 3x 11
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 3x 7x 11 = 3696
Therefore, the value for common factors is 3696.
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 = 54432386426880/(1x3696)
LCM = 54432386426880/3696
LCM = 14727377280
Thus, we can understand that the LCM of 749,640,627,686,264 is 14727377280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 640, 627, 686, 264?
Answer: LCM of 749, 640, 627, 686, 264 is 14727377280.
2. How to calculate the LCM of 749, 640, 627, 686, 264?
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 749, 640, 627, 686, 264.
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}.