Find the LCM of 283, 689, 948, 533, 169 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 283, 689, 948, 533, 169. So, keep reading to learn more.
Given numbers are 283,689,948,533,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,689,948,533,169 is 98523811308.
Find LCM of 283,689,948,533,169 with Prime Factorization
13 | 283, 689, 948, 533, 169 |
283, 53, 948, 41, 13 |
Multiply the prime numbers at the bottom and the left side.
13 x 283 x 53 x 948 x 41 x 13 = 98523811308
Therefore, the lowest common multiple of 283,689,948,533,169 is 98523811308.
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.
283 x 689 x 948 x 533 x 169 = 16650524111052
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.
283 : 1, 283
689 : 1, 13, 53, 689
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
533 : 1, 13, 41, 533
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,689,948,533,169, is 1.
Now, the common factors can be found like this.
283:283
689:13x 53
948:2x 2x 3x 79
533:13x 41
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 16650524111052/(1x169)
LCM = 16650524111052/169
LCM = 98523811308
Thus, we can understand that the LCM of 283,689,948,533,169 is 98523811308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 689, 948, 533, 169?
Answer: LCM of 283, 689, 948, 533, 169 is 98523811308.
2. How to calculate the LCM of 283, 689, 948, 533, 169?
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 283, 689, 948, 533, 169.
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}.