LCM of 568, 399, 854, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 399, 854, 494 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 568, 399, 854, 494. So, keep reading to learn more.
Given numbers are 568,399,854,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,399,854,494 is 179719176.
Find LCM of 568,399,854,494 with Prime Factorization
| 2 | 568, 399, 854, 494 |
| 7 | 284, 399, 427, 247 |
| 19 | 284, 57, 61, 247 |
| 284, 3, 61, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 284 x 3 x 61 x 13 = 179719176
Therefore, the lowest common multiple of 568,399,854,494 is 179719176.
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.
568 x 399 x 854 x 494 = 95610601632
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
399 : 1, 3, 7, 19, 21, 57, 133, 399
854 : 1, 2, 7, 14, 61, 122, 427, 854
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,399,854,494, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
399:3x 7x 19
854:2x 7x 61
494:2x 13x 19
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 = 95610601632/(1x532)
LCM = 95610601632/532
LCM = 179719176
Thus, we can understand that the LCM of 568,399,854,494 is 179719176.
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FAQs on LCM of 568, 399, 854, 494
1. What is the LCM of 568, 399, 854, 494?
Answer: LCM of 568, 399, 854, 494 is 179719176.
2. How to calculate the LCM of 568, 399, 854, 494?
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 568, 399, 854, 494.
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}.