LCM of 178, 341, 355, 402, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 341, 355, 402, 994 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 178, 341, 355, 402, 994. So, keep reading to learn more.
Given numbers are 178,341,355,402,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,341,355,402,994 is 30317740530.
Find LCM of 178,341,355,402,994 with Prime Factorization
| 2 | 178, 341, 355, 402, 994 |
| 71 | 89, 341, 355, 201, 497 |
| 89, 341, 5, 201, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 89 x 341 x 5 x 201 x 7 = 30317740530
Therefore, the lowest common multiple of 178,341,355,402,994 is 30317740530.
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.
178 x 341 x 355 x 402 x 994 = 8610238310520
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.
178 : 1, 2, 89, 178
341 : 1, 11, 31, 341
355 : 1, 5, 71, 355
402 : 1, 2, 3, 6, 67, 134, 201, 402
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,341,355,402,994, is 1.
Now, the common factors can be found like this.
178:2x 89
341:11x 31
355:5x 71
402:2x 3x 67
994:2x 7x 71
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 71 = 284
Therefore, the value for common factors is 284.
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 = 8610238310520/(1x284)
LCM = 8610238310520/284
LCM = 30317740530
Thus, we can understand that the LCM of 178,341,355,402,994 is 30317740530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 178, 341, 355, 402, 994
1. What is the LCM of 178, 341, 355, 402, 994?
Answer: LCM of 178, 341, 355, 402, 994 is 30317740530.
2. How to calculate the LCM of 178, 341, 355, 402, 994?
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 178, 341, 355, 402, 994.
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}.