LCM of 900, 783, 861, 623, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 783, 861, 623, 755 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, 783, 861, 623, 755. So, keep reading to learn more.
Given numbers are 900,783,861,623,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,783,861,623,755 is 302002551900.
Find LCM of 900,783,861,623,755 with Prime Factorization
| 3 | 900, 783, 861, 623, 755 |
| 3 | 300, 261, 287, 623, 755 |
| 5 | 100, 87, 287, 623, 755 |
| 7 | 20, 87, 287, 623, 151 |
| 20, 87, 41, 89, 151 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 20 x 87 x 41 x 89 x 151 = 302002551900
Therefore, the lowest common multiple of 900,783,861,623,755 is 302002551900.
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 783 x 861 x 623 x 755 = 285392411545500
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
783 : 1, 3, 9, 27, 29, 87, 261, 783
861 : 1, 3, 7, 21, 41, 123, 287, 861
623 : 1, 7, 89, 623
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,783,861,623,755, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
783:3x 3x 3x 29
861:3x 7x 41
623:7x 89
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 7 = 945
Therefore, the value for common factors is 945.
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 = 285392411545500/(1x945)
LCM = 285392411545500/945
LCM = 302002551900
Thus, we can understand that the LCM of 900,783,861,623,755 is 302002551900.
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FAQs on LCM of 900, 783, 861, 623, 755
1. What is the LCM of 900, 783, 861, 623, 755?
Answer: LCM of 900, 783, 861, 623, 755 is 302002551900.
2. How to calculate the LCM of 900, 783, 861, 623, 755?
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, 783, 861, 623, 755.
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}.