LCM of 493, 133, 286, 924, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 133, 286, 924, 196 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 493, 133, 286, 924, 196. So, keep reading to learn more.
Given numbers are 493,133,286,924,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,133,286,924,196 is 787614828.
Find LCM of 493,133,286,924,196 with Prime Factorization
| 2 | 493, 133, 286, 924, 196 |
| 2 | 493, 133, 143, 462, 98 |
| 7 | 493, 133, 143, 231, 49 |
| 11 | 493, 19, 143, 33, 7 |
| 493, 19, 13, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 493 x 19 x 13 x 3 x 7 = 787614828
Therefore, the lowest common multiple of 493,133,286,924,196 is 787614828.
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.
493 x 133 x 286 x 924 x 196 = 3396195138336
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.
493 : 1, 17, 29, 493
133 : 1, 7, 19, 133
286 : 1, 2, 11, 13, 22, 26, 143, 286
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,133,286,924,196, is 1.
Now, the common factors can be found like this.
493:17x 29
133:7x 19
286:2x 11x 13
924:2x 2x 3x 7x 11
196:2x 2x 7x 7
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 7x 7x 11 = 4312
Therefore, the value for common factors is 4312.
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 = 3396195138336/(1x4312)
LCM = 3396195138336/4312
LCM = 787614828
Thus, we can understand that the LCM of 493,133,286,924,196 is 787614828.
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FAQs on LCM of 493, 133, 286, 924, 196
1. What is the LCM of 493, 133, 286, 924, 196?
Answer: LCM of 493, 133, 286, 924, 196 is 787614828.
2. How to calculate the LCM of 493, 133, 286, 924, 196?
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 493, 133, 286, 924, 196.
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}.