LCM of 900, 358, 678, 428, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 358, 678, 428, 933 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, 358, 678, 428, 933. So, keep reading to learn more.
Given numbers are 900,358,678,428,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,358,678,428,933 is 605784491100.
Find LCM of 900,358,678,428,933 with Prime Factorization
| 2 | 900, 358, 678, 428, 933 |
| 2 | 450, 179, 339, 214, 933 |
| 3 | 225, 179, 339, 107, 933 |
| 75, 179, 113, 107, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 75 x 179 x 113 x 107 x 311 = 605784491100
Therefore, the lowest common multiple of 900,358,678,428,933 is 605784491100.
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 358 x 678 x 428 x 933 = 87232966718400
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
358 : 1, 2, 179, 358
678 : 1, 2, 3, 6, 113, 226, 339, 678
428 : 1, 2, 4, 107, 214, 428
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,358,678,428,933, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
358:2x 179
678:2x 3x 113
428:2x 2x 107
933:3x 311
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 3 = 144
Therefore, the value for common factors is 144.
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 = 87232966718400/(1x144)
LCM = 87232966718400/144
LCM = 605784491100
Thus, we can understand that the LCM of 900,358,678,428,933 is 605784491100.
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FAQs on LCM of 900, 358, 678, 428, 933
1. What is the LCM of 900, 358, 678, 428, 933?
Answer: LCM of 900, 358, 678, 428, 933 is 605784491100.
2. How to calculate the LCM of 900, 358, 678, 428, 933?
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, 358, 678, 428, 933.
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}.