LCM of 897, 676, 816, 533, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 676, 816, 533, 220 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 897, 676, 816, 533, 220. So, keep reading to learn more.
Given numbers are 897,676,816,533,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,676,816,533,220 is 7152390960.
Find LCM of 897,676,816,533,220 with Prime Factorization
| 2 | 897, 676, 816, 533, 220 |
| 2 | 897, 338, 408, 533, 110 |
| 3 | 897, 169, 204, 533, 55 |
| 13 | 299, 169, 68, 533, 55 |
| 23, 13, 68, 41, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 13 x 68 x 41 x 55 = 7152390960
Therefore, the lowest common multiple of 897,676,816,533,220 is 7152390960.
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.
897 x 676 x 816 x 533 x 220 = 58020195467520
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
533 : 1, 13, 41, 533
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,676,816,533,220, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
676:2x 2x 13x 13
816:2x 2x 2x 2x 3x 17
533:13x 41
220:2x 2x 5x 11
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 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 58020195467520/(1x8112)
LCM = 58020195467520/8112
LCM = 7152390960
Thus, we can understand that the LCM of 897,676,816,533,220 is 7152390960.
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FAQs on LCM of 897, 676, 816, 533, 220
1. What is the LCM of 897, 676, 816, 533, 220?
Answer: LCM of 897, 676, 816, 533, 220 is 7152390960.
2. How to calculate the LCM of 897, 676, 816, 533, 220?
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 897, 676, 816, 533, 220.
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}.