LCM of 693, 147, 224, 299, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 147, 224, 299, 221 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 693, 147, 224, 299, 221. So, keep reading to learn more.
Given numbers are 693,147,224,299,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,147,224,299,221 is 789044256.
Find LCM of 693,147,224,299,221 with Prime Factorization
| 3 | 693, 147, 224, 299, 221 |
| 7 | 231, 49, 224, 299, 221 |
| 13 | 33, 7, 32, 299, 221 |
| 33, 7, 32, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 33 x 7 x 32 x 23 x 17 = 789044256
Therefore, the lowest common multiple of 693,147,224,299,221 is 789044256.
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.
693 x 147 x 224 x 299 x 221 = 1507863573216
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
147 : 1, 3, 7, 21, 49, 147
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
299 : 1, 13, 23, 299
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,147,224,299,221, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
147:3x 7x 7
224:2x 2x 2x 2x 2x 7
299:13x 23
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 13 = 1911
Therefore, the value for common factors is 1911.
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 = 1507863573216/(1x1911)
LCM = 1507863573216/1911
LCM = 789044256
Thus, we can understand that the LCM of 693,147,224,299,221 is 789044256.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 693, 147, 224, 299, 221
1. What is the LCM of 693, 147, 224, 299, 221?
Answer: LCM of 693, 147, 224, 299, 221 is 789044256.
2. How to calculate the LCM of 693, 147, 224, 299, 221?
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 693, 147, 224, 299, 221.
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}.