LCM of 494, 382, 294, 852, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 382, 294, 852, 756 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, 382, 294, 852, 756. So, keep reading to learn more.
Given numbers are 494,382,294,852,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,382,294,852,756 is 17725908564.
Find LCM of 494,382,294,852,756 with Prime Factorization
| 2 | 494, 382, 294, 852, 756 |
| 2 | 247, 191, 147, 426, 378 |
| 3 | 247, 191, 147, 213, 189 |
| 7 | 247, 191, 49, 71, 63 |
| 247, 191, 7, 71, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 247 x 191 x 7 x 71 x 9 = 17725908564
Therefore, the lowest common multiple of 494,382,294,852,756 is 17725908564.
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 382 x 294 x 852 x 756 = 35735431665024
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
382 : 1, 2, 191, 382
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,382,294,852,756, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
382:2x 191
294:2x 3x 7x 7
852:2x 2x 3x 71
756:2x 2x 3x 3x 3x 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 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 35735431665024/(2x1008)
LCM = 35735431665024/2016
LCM = 17725908564
Thus, we can understand that the LCM of 494,382,294,852,756 is 17725908564.
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FAQs on LCM of 494, 382, 294, 852, 756
1. What is the LCM of 494, 382, 294, 852, 756?
Answer: LCM of 494, 382, 294, 852, 756 is 17725908564.
2. How to calculate the LCM of 494, 382, 294, 852, 756?
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, 382, 294, 852, 756.
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}.