LCM of 221, 897, 549, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 897, 549, 290 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 221, 897, 549, 290. So, keep reading to learn more.
Given numbers are 221,897,549,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,897,549,290 is 809264430.
Find LCM of 221,897,549,290 with Prime Factorization
| 3 | 221, 897, 549, 290 |
| 13 | 221, 299, 183, 290 |
| 17, 23, 183, 290 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 23 x 183 x 290 = 809264430
Therefore, the lowest common multiple of 221,897,549,290 is 809264430.
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.
221 x 897 x 549 x 290 = 31561312770
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.
221 : 1, 13, 17, 221
897 : 1, 3, 13, 23, 39, 69, 299, 897
549 : 1, 3, 9, 61, 183, 549
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,897,549,290, is 1.
Now, the common factors can be found like this.
221:13x 17
897:3x 13x 23
549:3x 3x 61
290:2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 31561312770/(1x39)
LCM = 31561312770/39
LCM = 809264430
Thus, we can understand that the LCM of 221,897,549,290 is 809264430.
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FAQs on LCM of 221, 897, 549, 290
1. What is the LCM of 221, 897, 549, 290?
Answer: LCM of 221, 897, 549, 290 is 809264430.
2. How to calculate the LCM of 221, 897, 549, 290?
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 221, 897, 549, 290.
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}.