LCM of 191, 128, 320, 490, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 191, 128, 320, 490, 742 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 191, 128, 320, 490, 742. So, keep reading to learn more.
Given numbers are 191,128,320,490,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,128,320,490,742 is 317457280.
Find LCM of 191,128,320,490,742 with Prime Factorization
| 2 | 191, 128, 320, 490, 742 |
| 2 | 191, 64, 160, 245, 371 |
| 2 | 191, 32, 80, 245, 371 |
| 2 | 191, 16, 40, 245, 371 |
| 2 | 191, 8, 20, 245, 371 |
| 2 | 191, 4, 10, 245, 371 |
| 5 | 191, 2, 5, 245, 371 |
| 7 | 191, 2, 1, 49, 371 |
| 191, 2, 1, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 191 x 2 x 1 x 7 x 53 = 317457280
Therefore, the lowest common multiple of 191,128,320,490,742 is 317457280.
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.
191 x 128 x 320 x 490 x 742 = 2844417228800
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.
191 : 1, 191
128 : 1, 2, 4, 8, 16, 32, 64, 128
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,128,320,490,742, is 1.
Now, the common factors can be found like this.
191:191
128:2x 2x 2x 2x 2x 2x 2
320:2x 2x 2x 2x 2x 2x 5
490:2x 5x 7x 7
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 5x 7 = 8960
Therefore, the value for common factors is 8960.
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 = 2844417228800/(1x8960)
LCM = 2844417228800/8960
LCM = 317457280
Thus, we can understand that the LCM of 191,128,320,490,742 is 317457280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 191, 128, 320, 490, 742
1. What is the LCM of 191, 128, 320, 490, 742?
Answer: LCM of 191, 128, 320, 490, 742 is 317457280.
2. How to calculate the LCM of 191, 128, 320, 490, 742?
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 191, 128, 320, 490, 742.
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}.