LCM of 549, 874, 899, 651, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 874, 899, 651, 394 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 549, 874, 899, 651, 394. So, keep reading to learn more.
Given numbers are 549,874,899,651,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,874,899,651,394 is 594850368546.
Find LCM of 549,874,899,651,394 with Prime Factorization
| 2 | 549, 874, 899, 651, 394 |
| 3 | 549, 437, 899, 651, 197 |
| 31 | 183, 437, 899, 217, 197 |
| 183, 437, 29, 7, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 183 x 437 x 29 x 7 x 197 = 594850368546
Therefore, the lowest common multiple of 549,874,899,651,394 is 594850368546.
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.
549 x 874 x 899 x 651 x 394 = 110642168549556
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.
549 : 1, 3, 9, 61, 183, 549
874 : 1, 2, 19, 23, 38, 46, 437, 874
899 : 1, 29, 31, 899
651 : 1, 3, 7, 21, 31, 93, 217, 651
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,874,899,651,394, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
874:2x 19x 23
899:29x 31
651:3x 7x 31
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 110642168549556/(1x186)
LCM = 110642168549556/186
LCM = 594850368546
Thus, we can understand that the LCM of 549,874,899,651,394 is 594850368546.
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FAQs on LCM of 549, 874, 899, 651, 394
1. What is the LCM of 549, 874, 899, 651, 394?
Answer: LCM of 549, 874, 899, 651, 394 is 594850368546.
2. How to calculate the LCM of 549, 874, 899, 651, 394?
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 549, 874, 899, 651, 394.
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}.