LCM of 493, 466, 493, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 466, 493, 274 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, 466, 493, 274. So, keep reading to learn more.
Given numbers are 493,466,493,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,466,493,274 is 31474106.
Find LCM of 493,466,493,274 with Prime Factorization
| 2 | 493, 466, 493, 274 |
| 17 | 493, 233, 493, 137 |
| 29 | 29, 233, 29, 137 |
| 1, 233, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 1 x 233 x 1 x 137 = 31474106
Therefore, the lowest common multiple of 493,466,493,274 is 31474106.
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 466 x 493 x 274 = 31033468516
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
466 : 1, 2, 233, 466
493 : 1, 17, 29, 493
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,466,493,274, is 1.
Now, the common factors can be found like this.
493:17x 29
466:2x 233
493:17x 29
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 29 = 986
Therefore, the value for common factors is 986.
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 = 31033468516/(1x986)
LCM = 31033468516/986
LCM = 31474106
Thus, we can understand that the LCM of 493,466,493,274 is 31474106.
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FAQs on LCM of 493, 466, 493, 274
1. What is the LCM of 493, 466, 493, 274?
Answer: LCM of 493, 466, 493, 274 is 31474106.
2. How to calculate the LCM of 493, 466, 493, 274?
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, 466, 493, 274.
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}.