LCM of 704, 221, 663, 222, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 221, 663, 222, 273 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 704, 221, 663, 222, 273. So, keep reading to learn more.
Given numbers are 704,221,663,222,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,221,663,222,273 is 120888768.
Find LCM of 704,221,663,222,273 with Prime Factorization
| 2 | 704, 221, 663, 222, 273 |
| 3 | 352, 221, 663, 111, 273 |
| 13 | 352, 221, 221, 37, 91 |
| 17 | 352, 17, 17, 37, 7 |
| 352, 1, 1, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 352 x 1 x 1 x 37 x 7 = 120888768
Therefore, the lowest common multiple of 704,221,663,222,273 is 120888768.
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.
704 x 221 x 663 x 222 x 273 = 6251641748352
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
221 : 1, 13, 17, 221
663 : 1, 3, 13, 17, 39, 51, 221, 663
222 : 1, 2, 3, 6, 37, 74, 111, 222
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,221,663,222,273, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
221:13x 17
663:3x 13x 17
222:2x 3x 37
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13x 17 = 51714
Therefore, the value for common factors is 51714.
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 = 6251641748352/(1x51714)
LCM = 6251641748352/51714
LCM = 120888768
Thus, we can understand that the LCM of 704,221,663,222,273 is 120888768.
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FAQs on LCM of 704, 221, 663, 222, 273
1. What is the LCM of 704, 221, 663, 222, 273?
Answer: LCM of 704, 221, 663, 222, 273 is 120888768.
2. How to calculate the LCM of 704, 221, 663, 222, 273?
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 704, 221, 663, 222, 273.
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}.