LCM of 533, 399, 819, 902, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 399, 819, 902, 258 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 533, 399, 819, 902, 258. So, keep reading to learn more.
Given numbers are 533,399,819,902,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,399,819,902,258 is 603548946.
Find LCM of 533,399,819,902,258 with Prime Factorization
| 2 | 533, 399, 819, 902, 258 |
| 3 | 533, 399, 819, 451, 129 |
| 7 | 533, 133, 273, 451, 43 |
| 13 | 533, 19, 39, 451, 43 |
| 41 | 41, 19, 3, 451, 43 |
| 1, 19, 3, 11, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 41 x 1 x 19 x 3 x 11 x 43 = 603548946
Therefore, the lowest common multiple of 533,399,819,902,258 is 603548946.
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.
533 x 399 x 819 x 902 x 258 = 40533140115468
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.
533 : 1, 13, 41, 533
399 : 1, 3, 7, 19, 21, 57, 133, 399
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
902 : 1, 2, 11, 22, 41, 82, 451, 902
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,399,819,902,258, is 1.
Now, the common factors can be found like this.
533:13x 41
399:3x 7x 19
819:3x 3x 7x 13
902:2x 11x 41
258:2x 3x 43
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 3x 7x 13x 41 = 67158
Therefore, the value for common factors is 67158.
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 = 40533140115468/(1x67158)
LCM = 40533140115468/67158
LCM = 603548946
Thus, we can understand that the LCM of 533,399,819,902,258 is 603548946.
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FAQs on LCM of 533, 399, 819, 902, 258
1. What is the LCM of 533, 399, 819, 902, 258?
Answer: LCM of 533, 399, 819, 902, 258 is 603548946.
2. How to calculate the LCM of 533, 399, 819, 902, 258?
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 533, 399, 819, 902, 258.
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}.