LCM of 572, 731, 161, 900, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 731, 161, 900, 550 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 572, 731, 161, 900, 550. So, keep reading to learn more.
Given numbers are 572,731,161,900,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,731,161,900,550 is 15146831700.
Find LCM of 572,731,161,900,550 with Prime Factorization
| 2 | 572, 731, 161, 900, 550 |
| 2 | 286, 731, 161, 450, 275 |
| 5 | 143, 731, 161, 225, 275 |
| 5 | 143, 731, 161, 45, 55 |
| 11 | 143, 731, 161, 9, 11 |
| 13, 731, 161, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 13 x 731 x 161 x 9 x 1 = 15146831700
Therefore, the lowest common multiple of 572,731,161,900,550 is 15146831700.
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.
572 x 731 x 161 x 900 x 550 = 33323029740000
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
731 : 1, 17, 43, 731
161 : 1, 7, 23, 161
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
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,731,161,900,550, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
731:17x 43
161:7x 23
900:2x 2x 3x 3x 5x 5
550:2x 5x 5x 11
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 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 33323029740000/(1x2200)
LCM = 33323029740000/2200
LCM = 15146831700
Thus, we can understand that the LCM of 572,731,161,900,550 is 15146831700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 731, 161, 900, 550
1. What is the LCM of 572, 731, 161, 900, 550?
Answer: LCM of 572, 731, 161, 900, 550 is 15146831700.
2. How to calculate the LCM of 572, 731, 161, 900, 550?
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 572, 731, 161, 900, 550.
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}.