LCM of 494, 150, 266, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 150, 266, 238 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 494, 150, 266, 238. So, keep reading to learn more.
Given numbers are 494,150,266,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,150,266,238 is 4408950.
Find LCM of 494,150,266,238 with Prime Factorization
| 2 | 494, 150, 266, 238 |
| 7 | 247, 75, 133, 119 |
| 19 | 247, 75, 19, 17 |
| 13, 75, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 13 x 75 x 1 x 17 = 4408950
Therefore, the lowest common multiple of 494,150,266,238 is 4408950.
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.
494 x 150 x 266 x 238 = 4691122800
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
266 : 1, 2, 7, 14, 19, 38, 133, 266
238 : 1, 2, 7, 14, 17, 34, 119, 238
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,150,266,238, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
150:2x 3x 5x 5
266:2x 7x 19
238:2x 7x 17
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 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 4691122800/(2x532)
LCM = 4691122800/1064
LCM = 4408950
Thus, we can understand that the LCM of 494,150,266,238 is 4408950.
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FAQs on LCM of 494, 150, 266, 238
1. What is the LCM of 494, 150, 266, 238?
Answer: LCM of 494, 150, 266, 238 is 4408950.
2. How to calculate the LCM of 494, 150, 266, 238?
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 494, 150, 266, 238.
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}.