LCM of 476, 128, 286, 238, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 128, 286, 238, 312 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 476, 128, 286, 238, 312. So, keep reading to learn more.
Given numbers are 476,128,286,238,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,128,286,238,312 is 6534528.
Find LCM of 476,128,286,238,312 with Prime Factorization
| 2 | 476, 128, 286, 238, 312 |
| 2 | 238, 64, 143, 119, 156 |
| 2 | 119, 32, 143, 119, 78 |
| 7 | 119, 16, 143, 119, 39 |
| 13 | 17, 16, 143, 17, 39 |
| 17 | 17, 16, 11, 17, 3 |
| 1, 16, 11, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 17 x 1 x 16 x 11 x 1 x 3 = 6534528
Therefore, the lowest common multiple of 476,128,286,238,312 is 6534528.
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.
476 x 128 x 286 x 238 x 312 = 1293941096448
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
128 : 1, 2, 4, 8, 16, 32, 64, 128
286 : 1, 2, 11, 13, 22, 26, 143, 286
238 : 1, 2, 7, 14, 17, 34, 119, 238
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,128,286,238,312, is 2.
Now, the common factors can be found like this.
476:2x 2x 7x 17
128:2x 2x 2x 2x 2x 2x 2
286:2x 11x 13
238:2x 7x 17
312:2x 2x 2x 3x 13
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 7x 13x 17 = 99008
Therefore, the value for common factors is 99008.
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 = 1293941096448/(2x99008)
LCM = 1293941096448/198016
LCM = 6534528
Thus, we can understand that the LCM of 476,128,286,238,312 is 6534528.
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FAQs on LCM of 476, 128, 286, 238, 312
1. What is the LCM of 476, 128, 286, 238, 312?
Answer: LCM of 476, 128, 286, 238, 312 is 6534528.
2. How to calculate the LCM of 476, 128, 286, 238, 312?
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 476, 128, 286, 238, 312.
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}.