LCM of 203, 168, 321, 749, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 168, 321, 749, 205 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 203, 168, 321, 749, 205. So, keep reading to learn more.
Given numbers are 203,168,321,749,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,168,321,749,205 is 106867320.
Find LCM of 203,168,321,749,205 with Prime Factorization
| 3 | 203, 168, 321, 749, 205 |
| 7 | 203, 56, 107, 749, 205 |
| 107 | 29, 8, 107, 107, 205 |
| 29, 8, 1, 1, 205 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 107 x 29 x 8 x 1 x 1 x 205 = 106867320
Therefore, the lowest common multiple of 203,168,321,749,205 is 106867320.
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.
203 x 168 x 321 x 749 x 205 = 1680916076280
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.
203 : 1, 7, 29, 203
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
321 : 1, 3, 107, 321
749 : 1, 7, 107, 749
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,168,321,749,205, is 1.
Now, the common factors can be found like this.
203:7x 29
168:2x 2x 2x 3x 7
321:3x 107
749:7x 107
205:5x 41
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 107 = 15729
Therefore, the value for common factors is 15729.
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 = 1680916076280/(1x15729)
LCM = 1680916076280/15729
LCM = 106867320
Thus, we can understand that the LCM of 203,168,321,749,205 is 106867320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 203, 168, 321, 749, 205
1. What is the LCM of 203, 168, 321, 749, 205?
Answer: LCM of 203, 168, 321, 749, 205 is 106867320.
2. How to calculate the LCM of 203, 168, 321, 749, 205?
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 203, 168, 321, 749, 205.
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}.