LCM of 105, 748, 209, 170, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 748, 209, 170, 550 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 105, 748, 209, 170, 550. So, keep reading to learn more.
Given numbers are 105,748,209,170,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,748,209,170,550 is 7461300.
Find LCM of 105,748,209,170,550 with Prime Factorization
| 2 | 105, 748, 209, 170, 550 |
| 5 | 105, 374, 209, 85, 275 |
| 11 | 21, 374, 209, 17, 55 |
| 17 | 21, 34, 19, 17, 5 |
| 21, 2, 19, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 21 x 2 x 19 x 1 x 5 = 7461300
Therefore, the lowest common multiple of 105,748,209,170,550 is 7461300.
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.
105 x 748 x 209 x 170 x 550 = 1534789410000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
209 : 1, 11, 19, 209
170 : 1, 2, 5, 10, 17, 34, 85, 170
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,748,209,170,550, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
748:2x 2x 11x 17
209:11x 19
170:2x 5x 17
550:2x 5x 5x 11
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 5x 5x 11x 11x 17 = 205700
Therefore, the value for common factors is 205700.
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 = 1534789410000/(1x205700)
LCM = 1534789410000/205700
LCM = 7461300
Thus, we can understand that the LCM of 105,748,209,170,550 is 7461300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 105, 748, 209, 170, 550
1. What is the LCM of 105, 748, 209, 170, 550?
Answer: LCM of 105, 748, 209, 170, 550 is 7461300.
2. How to calculate the LCM of 105, 748, 209, 170, 550?
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 105, 748, 209, 170, 550.
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}.