LCM of 356, 288, 362, 181
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 288, 362, 181 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 356, 288, 362, 181. So, keep reading to learn more.
Given numbers are 356,288,362,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,288,362,181 is 4639392.
Find LCM of 356,288,362,181 with Prime Factorization
| 2 | 356, 288, 362, 181 |
| 2 | 178, 144, 181, 181 |
| 181 | 89, 72, 181, 181 |
| 89, 72, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 89 x 72 x 1 x 1 = 4639392
Therefore, the lowest common multiple of 356,288,362,181 is 4639392.
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.
356 x 288 x 362 x 181 = 6717839616
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.
356 : 1, 2, 4, 89, 178, 356
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
362 : 1, 2, 181, 362
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,288,362,181, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
288:2x 2x 2x 2x 2x 3x 3
362:2x 181
181:181
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 181 = 1448
Therefore, the value for common factors is 1448.
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 = 6717839616/(1x1448)
LCM = 6717839616/1448
LCM = 4639392
Thus, we can understand that the LCM of 356,288,362,181 is 4639392.
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FAQs on LCM of 356, 288, 362, 181
1. What is the LCM of 356, 288, 362, 181?
Answer: LCM of 356, 288, 362, 181 is 4639392.
2. How to calculate the LCM of 356, 288, 362, 181?
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 356, 288, 362, 181.
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}.