Find the LCM of 247, 209, 810, 350, 703 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 247, 209, 810, 350, 703. So, keep reading to learn more.
Given numbers are 247,209,810,350,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,209,810,350,703 is 2849997150.
Find LCM of 247,209,810,350,703 with Prime Factorization
2 | 247, 209, 810, 350, 703 |
5 | 247, 209, 405, 175, 703 |
19 | 247, 209, 81, 35, 703 |
13, 11, 81, 35, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 13 x 11 x 81 x 35 x 37 = 2849997150
Therefore, the lowest common multiple of 247,209,810,350,703 is 2849997150.
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.
247 x 209 x 810 x 350 x 703 = 10288489711500
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.
247 : 1, 13, 19, 247
209 : 1, 11, 19, 209
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,209,810,350,703, is 1.
Now, the common factors can be found like this.
247:13x 19
209:11x 19
810:2x 3x 3x 3x 3x 5
350:2x 5x 5x 7
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 19 = 3610
Therefore, the value for common factors is 3610.
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 = 10288489711500/(1x3610)
LCM = 10288489711500/3610
LCM = 2849997150
Thus, we can understand that the LCM of 247,209,810,350,703 is 2849997150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 247, 209, 810, 350, 703?
Answer: LCM of 247, 209, 810, 350, 703 is 2849997150.
2. How to calculate the LCM of 247, 209, 810, 350, 703?
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 247, 209, 810, 350, 703.
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}.