LCM of 597, 410, 199, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 410, 199, 879 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 597, 410, 199, 879. So, keep reading to learn more.
Given numbers are 597,410,199,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,410,199,879 is 71717610.
Find LCM of 597,410,199,879 with Prime Factorization
| 3 | 597, 410, 199, 879 |
| 199 | 199, 410, 199, 293 |
| 1, 410, 1, 293 |
Multiply the prime numbers at the bottom and the left side.
3 x 199 x 1 x 410 x 1 x 293 = 71717610
Therefore, the lowest common multiple of 597,410,199,879 is 71717610.
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.
597 x 410 x 199 x 879 = 42815413170
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.
597 : 1, 3, 199, 597
410 : 1, 2, 5, 10, 41, 82, 205, 410
199 : 1, 199
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,410,199,879, is 1.
Now, the common factors can be found like this.
597:3x 199
410:2x 5x 41
199:199
879:3x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 199 = 597
Therefore, the value for common factors is 597.
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 = 42815413170/(1x597)
LCM = 42815413170/597
LCM = 71717610
Thus, we can understand that the LCM of 597,410,199,879 is 71717610.
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FAQs on LCM of 597, 410, 199, 879
1. What is the LCM of 597, 410, 199, 879?
Answer: LCM of 597, 410, 199, 879 is 71717610.
2. How to calculate the LCM of 597, 410, 199, 879?
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 597, 410, 199, 879.
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}.