LCM of 549, 901, 902, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 901, 902, 286 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, 901, 902, 286. So, keep reading to learn more.
Given numbers are 549,901,902,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,901,902,286 is 5800254174.
Find LCM of 549,901,902,286 with Prime Factorization
| 2 | 549, 901, 902, 286 |
| 11 | 549, 901, 451, 143 |
| 549, 901, 41, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 549 x 901 x 41 x 13 = 5800254174
Therefore, the lowest common multiple of 549,901,902,286 is 5800254174.
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 901 x 902 x 286 = 127605591828
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
901 : 1, 17, 53, 901
902 : 1, 2, 11, 22, 41, 82, 451, 902
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,901,902,286, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
901:17x 53
902:2x 11x 41
286:2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 127605591828/(1x22)
LCM = 127605591828/22
LCM = 5800254174
Thus, we can understand that the LCM of 549,901,902,286 is 5800254174.
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FAQs on LCM of 549, 901, 902, 286
1. What is the LCM of 549, 901, 902, 286?
Answer: LCM of 549, 901, 902, 286 is 5800254174.
2. How to calculate the LCM of 549, 901, 902, 286?
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, 901, 902, 286.
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}.