LCM of 490, 305, 280, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 305, 280, 797 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 490, 305, 280, 797. So, keep reading to learn more.
Given numbers are 490,305,280,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,305,280,797 is 95289320.
Find LCM of 490,305,280,797 with Prime Factorization
| 2 | 490, 305, 280, 797 |
| 5 | 245, 305, 140, 797 |
| 7 | 49, 61, 28, 797 |
| 7, 61, 4, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 61 x 4 x 797 = 95289320
Therefore, the lowest common multiple of 490,305,280,797 is 95289320.
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.
490 x 305 x 280 x 797 = 33351262000
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
305 : 1, 5, 61, 305
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,305,280,797, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
305:5x 61
280:2x 2x 2x 5x 7
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7 = 350
Therefore, the value for common factors is 350.
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 = 33351262000/(1x350)
LCM = 33351262000/350
LCM = 95289320
Thus, we can understand that the LCM of 490,305,280,797 is 95289320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 490, 305, 280, 797
1. What is the LCM of 490, 305, 280, 797?
Answer: LCM of 490, 305, 280, 797 is 95289320.
2. How to calculate the LCM of 490, 305, 280, 797?
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 490, 305, 280, 797.
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}.