LCM of 970, 200, 897, 440, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 200, 897, 440, 226 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 970, 200, 897, 440, 226. So, keep reading to learn more.
Given numbers are 970,200,897,440,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,200,897,440,226 is 21630437400.
Find LCM of 970,200,897,440,226 with Prime Factorization
| 2 | 970, 200, 897, 440, 226 |
| 2 | 485, 100, 897, 220, 113 |
| 2 | 485, 50, 897, 110, 113 |
| 5 | 485, 25, 897, 55, 113 |
| 97, 5, 897, 11, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 97 x 5 x 897 x 11 x 113 = 21630437400
Therefore, the lowest common multiple of 970,200,897,440,226 is 21630437400.
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.
970 x 200 x 897 x 440 x 226 = 17304349920000
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
897 : 1, 3, 13, 23, 39, 69, 299, 897
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,200,897,440,226, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
200:2x 2x 2x 5x 5
897:3x 13x 23
440:2x 2x 2x 5x 11
226:2x 113
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 2x 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 17304349920000/(1x800)
LCM = 17304349920000/800
LCM = 21630437400
Thus, we can understand that the LCM of 970,200,897,440,226 is 21630437400.
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FAQs on LCM of 970, 200, 897, 440, 226
1. What is the LCM of 970, 200, 897, 440, 226?
Answer: LCM of 970, 200, 897, 440, 226 is 21630437400.
2. How to calculate the LCM of 970, 200, 897, 440, 226?
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 970, 200, 897, 440, 226.
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}.