LCM of 843, 196, 714, 884, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 196, 714, 884, 474 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 843, 196, 714, 884, 474. So, keep reading to learn more.
Given numbers are 843,196,714,884,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,196,714,884,474 is 2884715652.
Find LCM of 843,196,714,884,474 with Prime Factorization
| 2 | 843, 196, 714, 884, 474 |
| 2 | 843, 98, 357, 442, 237 |
| 3 | 843, 49, 357, 221, 237 |
| 7 | 281, 49, 119, 221, 79 |
| 17 | 281, 7, 17, 221, 79 |
| 281, 7, 1, 13, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 281 x 7 x 1 x 13 x 79 = 2884715652
Therefore, the lowest common multiple of 843,196,714,884,474 is 2884715652.
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.
843 x 196 x 714 x 884 x 474 = 49432487412672
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.
843 : 1, 3, 281, 843
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,196,714,884,474, is 1.
Now, the common factors can be found like this.
843:3x 281
196:2x 2x 7x 7
714:2x 3x 7x 17
884:2x 2x 13x 17
474:2x 3x 79
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 3x 3x 7x 17 = 17136
Therefore, the value for common factors is 17136.
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 = 49432487412672/(1x17136)
LCM = 49432487412672/17136
LCM = 2884715652
Thus, we can understand that the LCM of 843,196,714,884,474 is 2884715652.
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FAQs on LCM of 843, 196, 714, 884, 474
1. What is the LCM of 843, 196, 714, 884, 474?
Answer: LCM of 843, 196, 714, 884, 474 is 2884715652.
2. How to calculate the LCM of 843, 196, 714, 884, 474?
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 843, 196, 714, 884, 474.
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}.