Find the LCM of 364, 393, 689, 557, 883 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 364, 393, 689, 557, 883. So, keep reading to learn more.
Given numbers are 364,393,689,557,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,393,689,557,883 is 3728942635236.
Find LCM of 364,393,689,557,883 with Prime Factorization
13 | 364, 393, 689, 557, 883 |
28, 393, 53, 557, 883 |
Multiply the prime numbers at the bottom and the left side.
13 x 28 x 393 x 53 x 557 x 883 = 3728942635236
Therefore, the lowest common multiple of 364,393,689,557,883 is 3728942635236.
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.
364 x 393 x 689 x 557 x 883 = 48476254258068
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
393 : 1, 3, 131, 393
689 : 1, 13, 53, 689
557 : 1, 557
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,393,689,557,883, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
393:3x 131
689:13x 53
557:557
883:883
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 48476254258068/(1x13)
LCM = 48476254258068/13
LCM = 3728942635236
Thus, we can understand that the LCM of 364,393,689,557,883 is 3728942635236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 393, 689, 557, 883?
Answer: LCM of 364, 393, 689, 557, 883 is 3728942635236.
2. How to calculate the LCM of 364, 393, 689, 557, 883?
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 364, 393, 689, 557, 883.
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}.