LCM of 499, 300, 345, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 300, 345, 440 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 499, 300, 345, 440. So, keep reading to learn more.
Given numbers are 499,300,345,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,300,345,440 is 75748200.
Find LCM of 499,300,345,440 with Prime Factorization
| 2 | 499, 300, 345, 440 |
| 2 | 499, 150, 345, 220 |
| 3 | 499, 75, 345, 110 |
| 5 | 499, 25, 115, 110 |
| 499, 5, 23, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 499 x 5 x 23 x 22 = 75748200
Therefore, the lowest common multiple of 499,300,345,440 is 75748200.
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.
499 x 300 x 345 x 440 = 22724460000
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.
499 : 1, 499
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
345 : 1, 3, 5, 15, 23, 69, 115, 345
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,300,345,440, is 1.
Now, the common factors can be found like this.
499:499
300:2x 2x 3x 5x 5
345:3x 5x 23
440:2x 2x 2x 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 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 = 22724460000/(1x300)
LCM = 22724460000/300
LCM = 75748200
Thus, we can understand that the LCM of 499,300,345,440 is 75748200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 300, 345, 440
1. What is the LCM of 499, 300, 345, 440?
Answer: LCM of 499, 300, 345, 440 is 75748200.
2. How to calculate the LCM of 499, 300, 345, 440?
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 499, 300, 345, 440.
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}.