LCM of 900, 251, 391, 322, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 251, 391, 322, 833 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, 251, 391, 322, 833. So, keep reading to learn more.
Given numbers are 900,251,391,322,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,251,391,322,833 is 4328018100.
Find LCM of 900,251,391,322,833 with Prime Factorization
| 2 | 900, 251, 391, 322, 833 |
| 7 | 450, 251, 391, 161, 833 |
| 17 | 450, 251, 391, 23, 119 |
| 23 | 450, 251, 23, 23, 7 |
| 450, 251, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 23 x 450 x 251 x 1 x 1 x 7 = 4328018100
Therefore, the lowest common multiple of 900,251,391,322,833 is 4328018100.
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 251 x 391 x 322 x 833 = 23691571079400
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
251 : 1, 251
391 : 1, 17, 23, 391
322 : 1, 2, 7, 14, 23, 46, 161, 322
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,251,391,322,833, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
251:251
391:17x 23
322:2x 7x 23
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 23 = 5474
Therefore, the value for common factors is 5474.
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 = 23691571079400/(1x5474)
LCM = 23691571079400/5474
LCM = 4328018100
Thus, we can understand that the LCM of 900,251,391,322,833 is 4328018100.
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FAQs on LCM of 900, 251, 391, 322, 833
1. What is the LCM of 900, 251, 391, 322, 833?
Answer: LCM of 900, 251, 391, 322, 833 is 4328018100.
2. How to calculate the LCM of 900, 251, 391, 322, 833?
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, 251, 391, 322, 833.
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}.