Find the LCM of 418, 209, 171, 528, 503 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 418, 209, 171, 528, 503. So, keep reading to learn more.
Given numbers are 418,209,171,528,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,209,171,528,503 is 15138288.
Find LCM of 418,209,171,528,503 with Prime Factorization
2 | 418, 209, 171, 528, 503 |
3 | 209, 209, 171, 264, 503 |
11 | 209, 209, 57, 88, 503 |
19 | 19, 19, 57, 8, 503 |
1, 1, 3, 8, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 1 x 1 x 3 x 8 x 503 = 15138288
Therefore, the lowest common multiple of 418,209,171,528,503 is 15138288.
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.
418 x 209 x 171 x 528 x 503 = 3967533348768
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
209 : 1, 11, 19, 209
171 : 1, 3, 9, 19, 57, 171
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,209,171,528,503, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
209:11x 19
171:3x 3x 19
528:2x 2x 2x 2x 3x 11
503:503
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 19x 19 = 262086
Therefore, the value for common factors is 262086.
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 = 3967533348768/(1x262086)
LCM = 3967533348768/262086
LCM = 15138288
Thus, we can understand that the LCM of 418,209,171,528,503 is 15138288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 209, 171, 528, 503?
Answer: LCM of 418, 209, 171, 528, 503 is 15138288.
2. How to calculate the LCM of 418, 209, 171, 528, 503?
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 418, 209, 171, 528, 503.
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}.