LCM of 221, 275, 923, 464, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 275, 923, 464, 278 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, 275, 923, 464, 278. So, keep reading to learn more.
Given numbers are 221,275,923,464,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,275,923,464,278 is 278301852400.
Find LCM of 221,275,923,464,278 with Prime Factorization
| 2 | 221, 275, 923, 464, 278 |
| 13 | 221, 275, 923, 232, 139 |
| 17, 275, 71, 232, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 275 x 71 x 232 x 139 = 278301852400
Therefore, the lowest common multiple of 221,275,923,464,278 is 278301852400.
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 275 x 923 x 464 x 278 = 7235848162400
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
275 : 1, 5, 11, 25, 55, 275
923 : 1, 13, 71, 923
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,275,923,464,278, is 1.
Now, the common factors can be found like this.
221:13x 17
275:5x 5x 11
923:13x 71
464:2x 2x 2x 2x 29
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 7235848162400/(1x26)
LCM = 7235848162400/26
LCM = 278301852400
Thus, we can understand that the LCM of 221,275,923,464,278 is 278301852400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 275, 923, 464, 278
1. What is the LCM of 221, 275, 923, 464, 278?
Answer: LCM of 221, 275, 923, 464, 278 is 278301852400.
2. How to calculate the LCM of 221, 275, 923, 464, 278?
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, 275, 923, 464, 278.
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}.