Find the LCM of 711, 382, 473, 319 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 711, 382, 473, 319. So, keep reading to learn more.
Given numbers are 711,382,473,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,382,473,319 is 3725564634.
Find LCM of 711,382,473,319 with Prime Factorization
11 | 711, 382, 473, 319 |
711, 382, 43, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 711 x 382 x 43 x 29 = 3725564634
Therefore, the lowest common multiple of 711,382,473,319 is 3725564634.
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.
711 x 382 x 473 x 319 = 40981210974
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.
711 : 1, 3, 9, 79, 237, 711
382 : 1, 2, 191, 382
473 : 1, 11, 43, 473
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,382,473,319, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
382:2x 191
473:11x 43
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 40981210974/(1x11)
LCM = 40981210974/11
LCM = 3725564634
Thus, we can understand that the LCM of 711,382,473,319 is 3725564634.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 382, 473, 319?
Answer: LCM of 711, 382, 473, 319 is 3725564634.
2. How to calculate the LCM of 711, 382, 473, 319?
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 711, 382, 473, 319.
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}.