LCM of 900, 986, 841, 205, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 986, 841, 205, 533 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 900, 986, 841, 205, 533. So, keep reading to learn more.
Given numbers are 900,986,841,205,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,986,841,205,533 is 6858270900.
Find LCM of 900,986,841,205,533 with Prime Factorization
| 2 | 900, 986, 841, 205, 533 |
| 5 | 450, 493, 841, 205, 533 |
| 29 | 90, 493, 841, 41, 533 |
| 41 | 90, 17, 29, 41, 533 |
| 90, 17, 29, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 41 x 90 x 17 x 29 x 1 x 13 = 6858270900
Therefore, the lowest common multiple of 900,986,841,205,533 is 6858270900.
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.
900 x 986 x 841 x 205 x 533 = 81544841001000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
986 : 1, 2, 17, 29, 34, 58, 493, 986
841 : 1, 29, 841
205 : 1, 5, 41, 205
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,986,841,205,533, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
986:2x 17x 29
841:29x 29
205:5x 41
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 29x 41 = 11890
Therefore, the value for common factors is 11890.
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 = 81544841001000/(1x11890)
LCM = 81544841001000/11890
LCM = 6858270900
Thus, we can understand that the LCM of 900,986,841,205,533 is 6858270900.
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FAQs on LCM of 900, 986, 841, 205, 533
1. What is the LCM of 900, 986, 841, 205, 533?
Answer: LCM of 900, 986, 841, 205, 533 is 6858270900.
2. How to calculate the LCM of 900, 986, 841, 205, 533?
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 900, 986, 841, 205, 533.
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}.