LCM of 736, 920, 910, 812, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 920, 910, 812, 775 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 736, 920, 910, 812, 775. So, keep reading to learn more.
Given numbers are 736,920,910,812,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,920,910,812,775 is 1505285600.
Find LCM of 736,920,910,812,775 with Prime Factorization
| 2 | 736, 920, 910, 812, 775 |
| 2 | 368, 460, 455, 406, 775 |
| 2 | 184, 230, 455, 203, 775 |
| 5 | 92, 115, 455, 203, 775 |
| 7 | 92, 23, 91, 203, 155 |
| 23 | 92, 23, 13, 29, 155 |
| 4, 1, 13, 29, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 23 x 4 x 1 x 13 x 29 x 155 = 1505285600
Therefore, the lowest common multiple of 736,920,910,812,775 is 1505285600.
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.
736 x 920 x 910 x 812 x 775 = 387761570560000
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,920,910,812,775, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
920:2x 2x 2x 5x 23
910:2x 5x 7x 13
812:2x 2x 7x 29
775:5x 5x 31
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 5x 5x 7x 23 = 257600
Therefore, the value for common factors is 257600.
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 = 387761570560000/(1x257600)
LCM = 387761570560000/257600
LCM = 1505285600
Thus, we can understand that the LCM of 736,920,910,812,775 is 1505285600.
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FAQs on LCM of 736, 920, 910, 812, 775
1. What is the LCM of 736, 920, 910, 812, 775?
Answer: LCM of 736, 920, 910, 812, 775 is 1505285600.
2. How to calculate the LCM of 736, 920, 910, 812, 775?
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 736, 920, 910, 812, 775.
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}.