Find the LCM of 709, 680, 170, 744, 382 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 709, 680, 170, 744, 382. So, keep reading to learn more.
Given numbers are 709,680,170,744,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,680,170,744,382 is 8563897560.
Find LCM of 709,680,170,744,382 with Prime Factorization
2 | 709, 680, 170, 744, 382 |
2 | 709, 340, 85, 372, 191 |
2 | 709, 170, 85, 186, 191 |
5 | 709, 85, 85, 93, 191 |
17 | 709, 17, 17, 93, 191 |
709, 1, 1, 93, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 709 x 1 x 1 x 93 x 191 = 8563897560
Therefore, the lowest common multiple of 709,680,170,744,382 is 8563897560.
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.
709 x 680 x 170 x 744 x 382 = 23293801363200
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.
709 : 1, 709
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
170 : 1, 2, 5, 10, 17, 34, 85, 170
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,680,170,744,382, is 1.
Now, the common factors can be found like this.
709:709
680:2x 2x 2x 5x 17
170:2x 5x 17
744:2x 2x 2x 3x 31
382:2x 191
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 5x 17 = 2720
Therefore, the value for common factors is 2720.
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 = 23293801363200/(1x2720)
LCM = 23293801363200/2720
LCM = 8563897560
Thus, we can understand that the LCM of 709,680,170,744,382 is 8563897560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 680, 170, 744, 382?
Answer: LCM of 709, 680, 170, 744, 382 is 8563897560.
2. How to calculate the LCM of 709, 680, 170, 744, 382?
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 709, 680, 170, 744, 382.
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}.