Find the LCM of 737, 668, 423, 268, 209 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 737, 668, 423, 268, 209. So, keep reading to learn more.
Given numbers are 737,668,423,268,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,668,423,268,209 is 3956743692.
Find LCM of 737,668,423,268,209 with Prime Factorization
2 | 737, 668, 423, 268, 209 |
2 | 737, 334, 423, 134, 209 |
11 | 737, 167, 423, 67, 209 |
67 | 67, 167, 423, 67, 19 |
1, 167, 423, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 1 x 167 x 423 x 1 x 19 = 3956743692
Therefore, the lowest common multiple of 737,668,423,268,209 is 3956743692.
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.
737 x 668 x 423 x 268 x 209 = 11664480404016
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.
737 : 1, 11, 67, 737
668 : 1, 2, 4, 167, 334, 668
423 : 1, 3, 9, 47, 141, 423
268 : 1, 2, 4, 67, 134, 268
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,668,423,268,209, is 1.
Now, the common factors can be found like this.
737:11x 67
668:2x 2x 167
423:3x 3x 47
268:2x 2x 67
209:11x 19
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 11x 67 = 2948
Therefore, the value for common factors is 2948.
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 = 11664480404016/(1x2948)
LCM = 11664480404016/2948
LCM = 3956743692
Thus, we can understand that the LCM of 737,668,423,268,209 is 3956743692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 668, 423, 268, 209?
Answer: LCM of 737, 668, 423, 268, 209 is 3956743692.
2. How to calculate the LCM of 737, 668, 423, 268, 209?
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 737, 668, 423, 268, 209.
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}.