LCM of 914, 784, 312, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 784, 312, 847 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 914, 784, 312, 847. So, keep reading to learn more.
Given numbers are 914,784,312,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,784,312,847 is 1690761072.
Find LCM of 914,784,312,847 with Prime Factorization
| 2 | 914, 784, 312, 847 |
| 2 | 457, 392, 156, 847 |
| 2 | 457, 196, 78, 847 |
| 7 | 457, 98, 39, 847 |
| 457, 14, 39, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 457 x 14 x 39 x 121 = 1690761072
Therefore, the lowest common multiple of 914,784,312,847 is 1690761072.
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.
914 x 784 x 312 x 847 = 189365240064
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.
914 : 1, 2, 457, 914
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,784,312,847, is 1.
Now, the common factors can be found like this.
914:2x 457
784:2x 2x 2x 2x 7x 7
312:2x 2x 2x 3x 13
847:7x 11x 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 7 = 112
Therefore, the value for common factors is 112.
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 = 189365240064/(1x112)
LCM = 189365240064/112
LCM = 1690761072
Thus, we can understand that the LCM of 914,784,312,847 is 1690761072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 784, 312, 847
1. What is the LCM of 914, 784, 312, 847?
Answer: LCM of 914, 784, 312, 847 is 1690761072.
2. How to calculate the LCM of 914, 784, 312, 847?
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 914, 784, 312, 847.
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}.