Find the LCM of 389, 599, 542, 589, 944 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 389, 599, 542, 589, 944. So, keep reading to learn more.
Given numbers are 389,599,542,589,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,599,542,589,944 is 35110175771696.
Find LCM of 389,599,542,589,944 with Prime Factorization
2 | 389, 599, 542, 589, 944 |
389, 599, 271, 589, 472 |
Multiply the prime numbers at the bottom and the left side.
2 x 389 x 599 x 271 x 589 x 472 = 35110175771696
Therefore, the lowest common multiple of 389,599,542,589,944 is 35110175771696.
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.
389 x 599 x 542 x 589 x 944 = 70220351543392
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.
389 : 1, 389
599 : 1, 599
542 : 1, 2, 271, 542
589 : 1, 19, 31, 589
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,599,542,589,944, is 1.
Now, the common factors can be found like this.
389:389
599:599
542:2x 271
589:19x 31
944:2x 2x 2x 2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 70220351543392/(1x2)
LCM = 70220351543392/2
LCM = 35110175771696
Thus, we can understand that the LCM of 389,599,542,589,944 is 35110175771696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 389, 599, 542, 589, 944?
Answer: LCM of 389, 599, 542, 589, 944 is 35110175771696.
2. How to calculate the LCM of 389, 599, 542, 589, 944?
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 389, 599, 542, 589, 944.
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}.