LCM of 337, 750, 214, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 750, 214, 900 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 337, 750, 214, 900. So, keep reading to learn more.
Given numbers are 337,750,214,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,750,214,900 is 162265500.
Find LCM of 337,750,214,900 with Prime Factorization
| 2 | 337, 750, 214, 900 |
| 3 | 337, 375, 107, 450 |
| 5 | 337, 125, 107, 150 |
| 5 | 337, 25, 107, 30 |
| 337, 5, 107, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 337 x 5 x 107 x 6 = 162265500
Therefore, the lowest common multiple of 337,750,214,900 is 162265500.
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.
337 x 750 x 214 x 900 = 48679650000
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.
337 : 1, 337
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
214 : 1, 2, 107, 214
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,750,214,900, is 1.
Now, the common factors can be found like this.
337:337
750:2x 3x 5x 5x 5
214:2x 107
900:2x 2x 3x 3x 5x 5
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 48679650000/(1x300)
LCM = 48679650000/300
LCM = 162265500
Thus, we can understand that the LCM of 337,750,214,900 is 162265500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 750, 214, 900
1. What is the LCM of 337, 750, 214, 900?
Answer: LCM of 337, 750, 214, 900 is 162265500.
2. How to calculate the LCM of 337, 750, 214, 900?
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 337, 750, 214, 900.
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}.