LCM of 221, 638, 754, 889, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 638, 754, 889, 321 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, 638, 754, 889, 321. So, keep reading to learn more.
Given numbers are 221,638,754,889,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,638,754,889,321 is 40236458262.
Find LCM of 221,638,754,889,321 with Prime Factorization
| 2 | 221, 638, 754, 889, 321 |
| 13 | 221, 319, 377, 889, 321 |
| 29 | 17, 319, 29, 889, 321 |
| 17, 11, 1, 889, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 17 x 11 x 1 x 889 x 321 = 40236458262
Therefore, the lowest common multiple of 221,638,754,889,321 is 40236458262.
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 638 x 754 x 889 x 321 = 30338289529548
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
754 : 1, 2, 13, 26, 29, 58, 377, 754
889 : 1, 7, 127, 889
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,638,754,889,321, is 1.
Now, the common factors can be found like this.
221:13x 17
638:2x 11x 29
754:2x 13x 29
889:7x 127
321:3x 107
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 29 = 754
Therefore, the value for common factors is 754.
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 = 30338289529548/(1x754)
LCM = 30338289529548/754
LCM = 40236458262
Thus, we can understand that the LCM of 221,638,754,889,321 is 40236458262.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 638, 754, 889, 321
1. What is the LCM of 221, 638, 754, 889, 321?
Answer: LCM of 221, 638, 754, 889, 321 is 40236458262.
2. How to calculate the LCM of 221, 638, 754, 889, 321?
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, 638, 754, 889, 321.
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}.