LCM of 749, 896, 380, 352, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 896, 380, 352, 568 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, 896, 380, 352, 568. So, keep reading to learn more.
Given numbers are 749,896,380,352,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,896,380,352,568 is 7113223040.
Find LCM of 749,896,380,352,568 with Prime Factorization
| 2 | 749, 896, 380, 352, 568 |
| 2 | 749, 448, 190, 176, 284 |
| 2 | 749, 224, 95, 88, 142 |
| 2 | 749, 112, 95, 44, 71 |
| 2 | 749, 56, 95, 22, 71 |
| 7 | 749, 28, 95, 11, 71 |
| 107, 4, 95, 11, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 107 x 4 x 95 x 11 x 71 = 7113223040
Therefore, the lowest common multiple of 749,896,380,352,568 is 7113223040.
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 896 x 380 x 352 x 568 = 50987582750720
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,896,380,352,568, is 1.
Now, the common factors can be found like this.
749:7x 107
896:2x 2x 2x 2x 2x 2x 2x 7
380:2x 2x 5x 19
352:2x 2x 2x 2x 2x 11
568:2x 2x 2x 71
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 2x 2x 2x 7 = 7168
Therefore, the value for common factors is 7168.
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 = 50987582750720/(1x7168)
LCM = 50987582750720/7168
LCM = 7113223040
Thus, we can understand that the LCM of 749,896,380,352,568 is 7113223040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 896, 380, 352, 568
1. What is the LCM of 749, 896, 380, 352, 568?
Answer: LCM of 749, 896, 380, 352, 568 is 7113223040.
2. How to calculate the LCM of 749, 896, 380, 352, 568?
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, 896, 380, 352, 568.
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}.