LCM of 900, 292, 306, 378, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 292, 306, 378, 321 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, 292, 306, 378, 321. So, keep reading to learn more.
Given numbers are 900,292,306,378,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,292,306,378,321 is 2509674300.
Find LCM of 900,292,306,378,321 with Prime Factorization
| 2 | 900, 292, 306, 378, 321 |
| 2 | 450, 146, 153, 189, 321 |
| 3 | 225, 73, 153, 189, 321 |
| 3 | 75, 73, 51, 63, 107 |
| 25, 73, 17, 21, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 25 x 73 x 17 x 21 x 107 = 2509674300
Therefore, the lowest common multiple of 900,292,306,378,321 is 2509674300.
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 292 x 306 x 378 x 321 = 9757613678400
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
292 : 1, 2, 4, 73, 146, 292
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,292,306,378,321, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
292:2x 2x 73
306:2x 3x 3x 17
378:2x 3x 3x 3x 7
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 9757613678400/(1x3888)
LCM = 9757613678400/3888
LCM = 2509674300
Thus, we can understand that the LCM of 900,292,306,378,321 is 2509674300.
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FAQs on LCM of 900, 292, 306, 378, 321
1. What is the LCM of 900, 292, 306, 378, 321?
Answer: LCM of 900, 292, 306, 378, 321 is 2509674300.
2. How to calculate the LCM of 900, 292, 306, 378, 321?
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, 292, 306, 378, 321.
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}.