LCM of 784, 845, 874, 847, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 845, 874, 847, 419 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 784, 845, 874, 847, 419. So, keep reading to learn more.
Given numbers are 784,845,874,847,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,845,874,847,419 is 14677551128240.
Find LCM of 784,845,874,847,419 with Prime Factorization
| 2 | 784, 845, 874, 847, 419 |
| 7 | 392, 845, 437, 847, 419 |
| 56, 845, 437, 121, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 56 x 845 x 437 x 121 x 419 = 14677551128240
Therefore, the lowest common multiple of 784,845,874,847,419 is 14677551128240.
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.
784 x 845 x 874 x 847 x 419 = 205485715795360
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
845 : 1, 5, 13, 65, 169, 845
874 : 1, 2, 19, 23, 38, 46, 437, 874
847 : 1, 7, 11, 77, 121, 847
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,845,874,847,419, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
845:5x 13x 13
874:2x 19x 23
847:7x 11x 11
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 205485715795360/(1x14)
LCM = 205485715795360/14
LCM = 14677551128240
Thus, we can understand that the LCM of 784,845,874,847,419 is 14677551128240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 784, 845, 874, 847, 419
1. What is the LCM of 784, 845, 874, 847, 419?
Answer: LCM of 784, 845, 874, 847, 419 is 14677551128240.
2. How to calculate the LCM of 784, 845, 874, 847, 419?
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 784, 845, 874, 847, 419.
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}.