LCM of 636, 384, 746, 418, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 384, 746, 418, 248 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 636, 384, 746, 418, 248. So, keep reading to learn more.
Given numbers are 636,384,746,418,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,384,746,418,248 is 49184006784.
Find LCM of 636,384,746,418,248 with Prime Factorization
| 2 | 636, 384, 746, 418, 248 |
| 2 | 318, 192, 373, 209, 124 |
| 2 | 159, 96, 373, 209, 62 |
| 3 | 159, 48, 373, 209, 31 |
| 53, 16, 373, 209, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 53 x 16 x 373 x 209 x 31 = 49184006784
Therefore, the lowest common multiple of 636,384,746,418,248 is 49184006784.
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.
636 x 384 x 746 x 418 x 248 = 18886658605056
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
746 : 1, 2, 373, 746
418 : 1, 2, 11, 19, 22, 38, 209, 418
248 : 1, 2, 4, 8, 31, 62, 124, 248
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,384,746,418,248, is 2.
Now, the common factors can be found like this.
636:2x 2x 3x 53
384:2x 2x 2x 2x 2x 2x 2x 3
746:2x 373
418:2x 11x 19
248:2x 2x 2x 31
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 2x 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 18886658605056/(2x192)
LCM = 18886658605056/384
LCM = 49184006784
Thus, we can understand that the LCM of 636,384,746,418,248 is 49184006784.
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FAQs on LCM of 636, 384, 746, 418, 248
1. What is the LCM of 636, 384, 746, 418, 248?
Answer: LCM of 636, 384, 746, 418, 248 is 49184006784.
2. How to calculate the LCM of 636, 384, 746, 418, 248?
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 636, 384, 746, 418, 248.
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}.