LCM of 490, 135, 286, 392, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 135, 286, 392, 161 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 490, 135, 286, 392, 161. So, keep reading to learn more.
Given numbers are 490,135,286,392,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,135,286,392,161 is 174053880.
Find LCM of 490,135,286,392,161 with Prime Factorization
| 2 | 490, 135, 286, 392, 161 |
| 5 | 245, 135, 143, 196, 161 |
| 7 | 49, 27, 143, 196, 161 |
| 7 | 7, 27, 143, 28, 23 |
| 1, 27, 143, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 1 x 27 x 143 x 4 x 23 = 174053880
Therefore, the lowest common multiple of 490,135,286,392,161 is 174053880.
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.
490 x 135 x 286 x 392 x 161 = 1194009616800
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
135 : 1, 3, 5, 9, 15, 27, 45, 135
286 : 1, 2, 11, 13, 22, 26, 143, 286
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,135,286,392,161, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
135:3x 3x 3x 5
286:2x 11x 13
392:2x 2x 2x 7x 7
161:7x 23
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 5x 7x 7x 7 = 6860
Therefore, the value for common factors is 6860.
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 = 1194009616800/(1x6860)
LCM = 1194009616800/6860
LCM = 174053880
Thus, we can understand that the LCM of 490,135,286,392,161 is 174053880.
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FAQs on LCM of 490, 135, 286, 392, 161
1. What is the LCM of 490, 135, 286, 392, 161?
Answer: LCM of 490, 135, 286, 392, 161 is 174053880.
2. How to calculate the LCM of 490, 135, 286, 392, 161?
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 490, 135, 286, 392, 161.
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}.