Find the LCM of 703, 548, 209, 575, 713 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 703, 548, 209, 575, 713. So, keep reading to learn more.
Given numbers are 703,548,209,575,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,548,209,575,713 is 75536717300.
Find LCM of 703,548,209,575,713 with Prime Factorization
19 | 703, 548, 209, 575, 713 |
23 | 37, 548, 11, 575, 713 |
37, 548, 11, 25, 31 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 37 x 548 x 11 x 25 x 31 = 75536717300
Therefore, the lowest common multiple of 703,548,209,575,713 is 75536717300.
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.
703 x 548 x 209 x 575 x 713 = 33009545460100
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.
703 : 1, 19, 37, 703
548 : 1, 2, 4, 137, 274, 548
209 : 1, 11, 19, 209
575 : 1, 5, 23, 25, 115, 575
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,548,209,575,713, is 1.
Now, the common factors can be found like this.
703:19x 37
548:2x 2x 137
209:11x 19
575:5x 5x 23
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 23 = 437
Therefore, the value for common factors is 437.
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 = 33009545460100/(1x437)
LCM = 33009545460100/437
LCM = 75536717300
Thus, we can understand that the LCM of 703,548,209,575,713 is 75536717300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 548, 209, 575, 713?
Answer: LCM of 703, 548, 209, 575, 713 is 75536717300.
2. How to calculate the LCM of 703, 548, 209, 575, 713?
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 703, 548, 209, 575, 713.
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}.