LCM of 415, 130, 596, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 130, 596, 978 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 415, 130, 596, 978. So, keep reading to learn more.
Given numbers are 415,130,596,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,130,596,978 is 1572340380.
Find LCM of 415,130,596,978 with Prime Factorization
| 2 | 415, 130, 596, 978 |
| 5 | 415, 65, 298, 489 |
| 83, 13, 298, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 83 x 13 x 298 x 489 = 1572340380
Therefore, the lowest common multiple of 415,130,596,978 is 1572340380.
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.
415 x 130 x 596 x 978 = 31446807600
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.
415 : 1, 5, 83, 415
130 : 1, 2, 5, 10, 13, 26, 65, 130
596 : 1, 2, 4, 149, 298, 596
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,130,596,978, is 1.
Now, the common factors can be found like this.
415:5x 83
130:2x 5x 13
596:2x 2x 149
978:2x 3x 163
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 5 = 20
Therefore, the value for common factors is 20.
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 = 31446807600/(1x20)
LCM = 31446807600/20
LCM = 1572340380
Thus, we can understand that the LCM of 415,130,596,978 is 1572340380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 130, 596, 978
1. What is the LCM of 415, 130, 596, 978?
Answer: LCM of 415, 130, 596, 978 is 1572340380.
2. How to calculate the LCM of 415, 130, 596, 978?
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 415, 130, 596, 978.
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}.