LCM of 112, 900, 824, 506, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 900, 824, 506, 434 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 112, 900, 824, 506, 434. So, keep reading to learn more.
Given numbers are 112,900,824,506,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,900,824,506,434 is 20357290800.
Find LCM of 112,900,824,506,434 with Prime Factorization
| 2 | 112, 900, 824, 506, 434 |
| 2 | 56, 450, 412, 253, 217 |
| 2 | 28, 225, 206, 253, 217 |
| 7 | 14, 225, 103, 253, 217 |
| 2, 225, 103, 253, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 2 x 225 x 103 x 253 x 31 = 20357290800
Therefore, the lowest common multiple of 112,900,824,506,434 is 20357290800.
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.
112 x 900 x 824 x 506 x 434 = 18240132556800
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
824 : 1, 2, 4, 8, 103, 206, 412, 824
506 : 1, 2, 11, 22, 23, 46, 253, 506
434 : 1, 2, 7, 14, 31, 62, 217, 434
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,900,824,506,434, is 2.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
900:2x 2x 3x 3x 5x 5
824:2x 2x 2x 103
506:2x 11x 23
434:2x 7x 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 7 = 448
Therefore, the value for common factors is 448.
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 = 18240132556800/(2x448)
LCM = 18240132556800/896
LCM = 20357290800
Thus, we can understand that the LCM of 112,900,824,506,434 is 20357290800.
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FAQs on LCM of 112, 900, 824, 506, 434
1. What is the LCM of 112, 900, 824, 506, 434?
Answer: LCM of 112, 900, 824, 506, 434 is 20357290800.
2. How to calculate the LCM of 112, 900, 824, 506, 434?
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 112, 900, 824, 506, 434.
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}.