LCM of 197, 951, 897, 890, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 951, 897, 890, 454 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 197, 951, 897, 890, 454. So, keep reading to learn more.
Given numbers are 197,951,897,890,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,951,897,890,454 is 11317064608590.
Find LCM of 197,951,897,890,454 with Prime Factorization
| 2 | 197, 951, 897, 890, 454 |
| 3 | 197, 951, 897, 445, 227 |
| 197, 317, 299, 445, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 317 x 299 x 445 x 227 = 11317064608590
Therefore, the lowest common multiple of 197,951,897,890,454 is 11317064608590.
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.
197 x 951 x 897 x 890 x 454 = 67902387651540
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.
197 : 1, 197
951 : 1, 3, 317, 951
897 : 1, 3, 13, 23, 39, 69, 299, 897
890 : 1, 2, 5, 10, 89, 178, 445, 890
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,951,897,890,454, is 1.
Now, the common factors can be found like this.
197:197
951:3x 317
897:3x 13x 23
890:2x 5x 89
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 67902387651540/(1x6)
LCM = 67902387651540/6
LCM = 11317064608590
Thus, we can understand that the LCM of 197,951,897,890,454 is 11317064608590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 197, 951, 897, 890, 454
1. What is the LCM of 197, 951, 897, 890, 454?
Answer: LCM of 197, 951, 897, 890, 454 is 11317064608590.
2. How to calculate the LCM of 197, 951, 897, 890, 454?
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 197, 951, 897, 890, 454.
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}.