LCM of 366, 154, 884, 409, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 154, 884, 409, 871 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 366, 154, 884, 409, 871. So, keep reading to learn more.
Given numbers are 366,154,884,409,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,154,884,409,871 is 341343934932.
Find LCM of 366,154,884,409,871 with Prime Factorization
| 2 | 366, 154, 884, 409, 871 |
| 13 | 183, 77, 442, 409, 871 |
| 183, 77, 34, 409, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 183 x 77 x 34 x 409 x 67 = 341343934932
Therefore, the lowest common multiple of 366,154,884,409,871 is 341343934932.
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.
366 x 154 x 884 x 409 x 871 = 17749884616464
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
154 : 1, 2, 7, 11, 14, 22, 77, 154
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
409 : 1, 409
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,154,884,409,871, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
154:2x 7x 11
884:2x 2x 13x 17
409:409
871:13x 67
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 13 = 52
Therefore, the value for common factors is 52.
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 = 17749884616464/(1x52)
LCM = 17749884616464/52
LCM = 341343934932
Thus, we can understand that the LCM of 366,154,884,409,871 is 341343934932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 366, 154, 884, 409, 871
1. What is the LCM of 366, 154, 884, 409, 871?
Answer: LCM of 366, 154, 884, 409, 871 is 341343934932.
2. How to calculate the LCM of 366, 154, 884, 409, 871?
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 366, 154, 884, 409, 871.
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}.