LCM of 314, 897, 348, 667, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 897, 348, 667, 196 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 314, 897, 348, 667, 196. So, keep reading to learn more.
Given numbers are 314,897,348,667,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,897,348,667,196 is 800472036.
Find LCM of 314,897,348,667,196 with Prime Factorization
| 2 | 314, 897, 348, 667, 196 |
| 2 | 157, 897, 174, 667, 98 |
| 3 | 157, 897, 87, 667, 49 |
| 23 | 157, 299, 29, 667, 49 |
| 29 | 157, 13, 29, 29, 49 |
| 157, 13, 1, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 29 x 157 x 13 x 1 x 1 x 49 = 800472036
Therefore, the lowest common multiple of 314,897,348,667,196 is 800472036.
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.
314 x 897 x 348 x 667 x 196 = 12813956352288
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.
314 : 1, 2, 157, 314
897 : 1, 3, 13, 23, 39, 69, 299, 897
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
667 : 1, 23, 29, 667
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,897,348,667,196, is 1.
Now, the common factors can be found like this.
314:2x 157
897:3x 13x 23
348:2x 2x 3x 29
667:23x 29
196:2x 2x 7x 7
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 3x 23x 29 = 16008
Therefore, the value for common factors is 16008.
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 = 12813956352288/(1x16008)
LCM = 12813956352288/16008
LCM = 800472036
Thus, we can understand that the LCM of 314,897,348,667,196 is 800472036.
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FAQs on LCM of 314, 897, 348, 667, 196
1. What is the LCM of 314, 897, 348, 667, 196?
Answer: LCM of 314, 897, 348, 667, 196 is 800472036.
2. How to calculate the LCM of 314, 897, 348, 667, 196?
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 314, 897, 348, 667, 196.
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}.