Find the LCM of 742, 849, 209, 209, 169 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 742, 849, 209, 209, 169. So, keep reading to learn more.
Given numbers are 742,849,209,209,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,849,209,209,169 is 22250746518.
Find LCM of 742,849,209,209,169 with Prime Factorization
11 | 742, 849, 209, 209, 169 |
19 | 742, 849, 19, 19, 169 |
742, 849, 1, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 742 x 849 x 1 x 1 x 169 = 22250746518
Therefore, the lowest common multiple of 742,849,209,209,169 is 22250746518.
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.
742 x 849 x 209 x 209 x 169 = 4650406022262
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
849 : 1, 3, 283, 849
209 : 1, 11, 19, 209
209 : 1, 11, 19, 209
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,849,209,209,169, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
849:3x 283
209:11x 19
209:11x 19
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 4650406022262/(1x209)
LCM = 4650406022262/209
LCM = 22250746518
Thus, we can understand that the LCM of 742,849,209,209,169 is 22250746518.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 849, 209, 209, 169?
Answer: LCM of 742, 849, 209, 209, 169 is 22250746518.
2. How to calculate the LCM of 742, 849, 209, 209, 169?
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 742, 849, 209, 209, 169.
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}.