LCM of 140, 173, 900, 385, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 173, 900, 385, 936 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 140, 173, 900, 385, 936. So, keep reading to learn more.
Given numbers are 140,173,900,385,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,173,900,385,936 is 311711400.
Find LCM of 140,173,900,385,936 with Prime Factorization
| 2 | 140, 173, 900, 385, 936 |
| 2 | 70, 173, 450, 385, 468 |
| 3 | 35, 173, 225, 385, 234 |
| 3 | 35, 173, 75, 385, 78 |
| 5 | 35, 173, 25, 385, 26 |
| 7 | 7, 173, 5, 77, 26 |
| 1, 173, 5, 11, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 1 x 173 x 5 x 11 x 26 = 311711400
Therefore, the lowest common multiple of 140,173,900,385,936 is 311711400.
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.
140 x 173 x 900 x 385 x 936 = 7855127280000
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
173 : 1, 173
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,173,900,385,936, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
173:173
900:2x 2x 3x 3x 5x 5
385:5x 7x 11
936:2x 2x 2x 3x 3x 13
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 5x 5x 7 = 25200
Therefore, the value for common factors is 25200.
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 = 7855127280000/(1x25200)
LCM = 7855127280000/25200
LCM = 311711400
Thus, we can understand that the LCM of 140,173,900,385,936 is 311711400.
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FAQs on LCM of 140, 173, 900, 385, 936
1. What is the LCM of 140, 173, 900, 385, 936?
Answer: LCM of 140, 173, 900, 385, 936 is 311711400.
2. How to calculate the LCM of 140, 173, 900, 385, 936?
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 140, 173, 900, 385, 936.
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}.