LCM of 147, 561, 429, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 561, 429, 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 147, 561, 429, 221. So, keep reading to learn more.
Given numbers are 147,561,429,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,561,429,221 is 357357.
Find LCM of 147,561,429,221 with Prime Factorization
| 3 | 147, 561, 429, 221 |
| 11 | 49, 187, 143, 221 |
| 13 | 49, 17, 13, 221 |
| 17 | 49, 17, 1, 17 |
| 49, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 17 x 49 x 1 x 1 x 1 = 357357
Therefore, the lowest common multiple of 147,561,429,221 is 357357.
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.
147 x 561 x 429 x 221 = 7818613803
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.
147 : 1, 3, 7, 21, 49, 147
561 : 1, 3, 11, 17, 33, 51, 187, 561
429 : 1, 3, 11, 13, 33, 39, 143, 429
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,561,429,221, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
561:3x 11x 17
429:3x 11x 13
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 3x 11x 13x 17 = 21879
Therefore, the value for common factors is 21879.
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 = 7818613803/(1x21879)
LCM = 7818613803/21879
LCM = 357357
Thus, we can understand that the LCM of 147,561,429,221 is 357357.
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FAQs on LCM of 147, 561, 429, 221
1. What is the LCM of 147, 561, 429, 221?
Answer: LCM of 147, 561, 429, 221 is 357357.
2. How to calculate the LCM of 147, 561, 429, 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 147, 561, 429, 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}.