Find the LCM of 601, 588, 735, 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 601, 588, 735, 221. So, keep reading to learn more.
Given numbers are 601,588,735,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 601,588,735,221 is 390493740.
Find LCM of 601,588,735,221 with Prime Factorization
3 | 601, 588, 735, 221 |
7 | 601, 196, 245, 221 |
7 | 601, 28, 35, 221 |
601, 4, 5, 221 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 601 x 4 x 5 x 221 = 390493740
Therefore, the lowest common multiple of 601,588,735,221 is 390493740.
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.
601 x 588 x 735 x 221 = 57402579780
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.
601 : 1, 601
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,588,735,221, is 1.
Now, the common factors can be found like this.
601:601
588:2x 2x 3x 7x 7
735:3x 5x 7x 7
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 7 = 147
Therefore, the value for common factors is 147.
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 = 57402579780/(1x147)
LCM = 57402579780/147
LCM = 390493740
Thus, we can understand that the LCM of 601,588,735,221 is 390493740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 601, 588, 735, 221?
Answer: LCM of 601, 588, 735, 221 is 390493740.
2. How to calculate the LCM of 601, 588, 735, 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 601, 588, 735, 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}.