LCM of 168, 176, 361, 950, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 176, 361, 950, 341 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 168, 176, 361, 950, 341. So, keep reading to learn more.
Given numbers are 168,176,361,950,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,176,361,950,341 is 1034048400.
Find LCM of 168,176,361,950,341 with Prime Factorization
| 2 | 168, 176, 361, 950, 341 |
| 2 | 84, 88, 361, 475, 341 |
| 2 | 42, 44, 361, 475, 341 |
| 11 | 21, 22, 361, 475, 341 |
| 19 | 21, 2, 361, 475, 31 |
| 21, 2, 19, 25, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 21 x 2 x 19 x 25 x 31 = 1034048400
Therefore, the lowest common multiple of 168,176,361,950,341 is 1034048400.
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.
168 x 176 x 361 x 950 x 341 = 3457857849600
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
361 : 1, 19, 361
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,176,361,950,341, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
176:2x 2x 2x 2x 11
361:19x 19
950:2x 5x 5x 19
341:11x 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 11x 19 = 3344
Therefore, the value for common factors is 3344.
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 = 3457857849600/(1x3344)
LCM = 3457857849600/3344
LCM = 1034048400
Thus, we can understand that the LCM of 168,176,361,950,341 is 1034048400.
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FAQs on LCM of 168, 176, 361, 950, 341
1. What is the LCM of 168, 176, 361, 950, 341?
Answer: LCM of 168, 176, 361, 950, 341 is 1034048400.
2. How to calculate the LCM of 168, 176, 361, 950, 341?
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 168, 176, 361, 950, 341.
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}.