LCM of 775, 675, 741, 748, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 675, 741, 748, 506 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 775, 675, 741, 748, 506. So, keep reading to learn more.
Given numbers are 775,675,741,748,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,675,741,748,506 is 88918443900.
Find LCM of 775,675,741,748,506 with Prime Factorization
| 2 | 775, 675, 741, 748, 506 |
| 3 | 775, 675, 741, 374, 253 |
| 5 | 775, 225, 247, 374, 253 |
| 5 | 155, 45, 247, 374, 253 |
| 11 | 31, 9, 247, 374, 253 |
| 31, 9, 247, 34, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 31 x 9 x 247 x 34 x 23 = 88918443900
Therefore, the lowest common multiple of 775,675,741,748,506 is 88918443900.
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.
775 x 675 x 741 x 748 x 506 = 146715432435000
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.
775 : 1, 5, 25, 31, 155, 775
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
741 : 1, 3, 13, 19, 39, 57, 247, 741
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,675,741,748,506, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
675:3x 3x 3x 5x 5
741:3x 13x 19
748:2x 2x 11x 17
506:2x 11x 23
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 5x 5x 11 = 1650
Therefore, the value for common factors is 1650.
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 = 146715432435000/(1x1650)
LCM = 146715432435000/1650
LCM = 88918443900
Thus, we can understand that the LCM of 775,675,741,748,506 is 88918443900.
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FAQs on LCM of 775, 675, 741, 748, 506
1. What is the LCM of 775, 675, 741, 748, 506?
Answer: LCM of 775, 675, 741, 748, 506 is 88918443900.
2. How to calculate the LCM of 775, 675, 741, 748, 506?
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 775, 675, 741, 748, 506.
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}.