LCM of 494, 362, 524, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 362, 524, 724 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, 362, 524, 724. So, keep reading to learn more.
Given numbers are 494,362,524,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,362,524,724 is 23426468.
Find LCM of 494,362,524,724 with Prime Factorization
| 2 | 494, 362, 524, 724 |
| 2 | 247, 181, 262, 362 |
| 181 | 247, 181, 131, 181 |
| 247, 1, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 247 x 1 x 131 x 1 = 23426468
Therefore, the lowest common multiple of 494,362,524,724 is 23426468.
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 362 x 524 x 724 = 67843051328
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
362 : 1, 2, 181, 362
524 : 1, 2, 4, 131, 262, 524
724 : 1, 2, 4, 181, 362, 724
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,362,524,724, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
362:2x 181
524:2x 2x 131
724:2x 2x 181
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 181 = 1448
Therefore, the value for common factors is 1448.
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 = 67843051328/(2x1448)
LCM = 67843051328/2896
LCM = 23426468
Thus, we can understand that the LCM of 494,362,524,724 is 23426468.
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FAQs on LCM of 494, 362, 524, 724
1. What is the LCM of 494, 362, 524, 724?
Answer: LCM of 494, 362, 524, 724 is 23426468.
2. How to calculate the LCM of 494, 362, 524, 724?
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, 362, 524, 724.
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}.