LCM of 300, 725, 492, 769, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 725, 492, 769, 290 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 300, 725, 492, 769, 290. So, keep reading to learn more.
Given numbers are 300,725,492,769,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,725,492,769,290 is 274302300.
Find LCM of 300,725,492,769,290 with Prime Factorization
| 2 | 300, 725, 492, 769, 290 |
| 2 | 150, 725, 246, 769, 145 |
| 3 | 75, 725, 123, 769, 145 |
| 5 | 25, 725, 41, 769, 145 |
| 5 | 5, 29, 41, 769, 145 |
| 29 | 1, 29, 41, 769, 29 |
| 1, 1, 41, 769, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 29 x 1 x 1 x 41 x 769 x 1 = 274302300
Therefore, the lowest common multiple of 300,725,492,769,290 is 274302300.
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.
300 x 725 x 492 x 769 x 290 = 23864300100000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
725 : 1, 5, 25, 29, 145, 725
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
769 : 1, 769
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,725,492,769,290, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
725:5x 5x 29
492:2x 2x 3x 41
769:769
290:2x 5x 29
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 3x 5x 5x 5x 29 = 87000
Therefore, the value for common factors is 87000.
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 = 23864300100000/(1x87000)
LCM = 23864300100000/87000
LCM = 274302300
Thus, we can understand that the LCM of 300,725,492,769,290 is 274302300.
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FAQs on LCM of 300, 725, 492, 769, 290
1. What is the LCM of 300, 725, 492, 769, 290?
Answer: LCM of 300, 725, 492, 769, 290 is 274302300.
2. How to calculate the LCM of 300, 725, 492, 769, 290?
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 300, 725, 492, 769, 290.
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}.