LCM of 897, 544, 221, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 544, 221, 334 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, 544, 221, 334. So, keep reading to learn more.
Given numbers are 897,544,221,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,544,221,334 is 81490656.
Find LCM of 897,544,221,334 with Prime Factorization
| 2 | 897, 544, 221, 334 |
| 13 | 897, 272, 221, 167 |
| 17 | 69, 272, 17, 167 |
| 69, 16, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 69 x 16 x 1 x 167 = 81490656
Therefore, the lowest common multiple of 897,544,221,334 is 81490656.
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 544 x 221 x 334 = 36018869952
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
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
221 : 1, 13, 17, 221
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,544,221,334, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
544:2x 2x 2x 2x 2x 17
221:13x 17
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 36018869952/(1x442)
LCM = 36018869952/442
LCM = 81490656
Thus, we can understand that the LCM of 897,544,221,334 is 81490656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 897, 544, 221, 334
1. What is the LCM of 897, 544, 221, 334?
Answer: LCM of 897, 544, 221, 334 is 81490656.
2. How to calculate the LCM of 897, 544, 221, 334?
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, 544, 221, 334.
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}.