LCM of 356, 979, 814, 412, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 979, 814, 412, 598 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 356, 979, 814, 412, 598. So, keep reading to learn more.
Given numbers are 356,979,814,412,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,979,814,412,598 is 4462238924.
Find LCM of 356,979,814,412,598 with Prime Factorization
| 2 | 356, 979, 814, 412, 598 |
| 2 | 178, 979, 407, 206, 299 |
| 11 | 89, 979, 407, 103, 299 |
| 89 | 89, 89, 37, 103, 299 |
| 1, 1, 37, 103, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 89 x 1 x 1 x 37 x 103 x 299 = 4462238924
Therefore, the lowest common multiple of 356,979,814,412,598 is 4462238924.
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.
356 x 979 x 814 x 412 x 598 = 69896510505536
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.
356 : 1, 2, 4, 89, 178, 356
979 : 1, 11, 89, 979
814 : 1, 2, 11, 22, 37, 74, 407, 814
412 : 1, 2, 4, 103, 206, 412
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,979,814,412,598, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
979:11x 89
814:2x 11x 37
412:2x 2x 103
598:2x 13x 23
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 2x 11x 89 = 15664
Therefore, the value for common factors is 15664.
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 = 69896510505536/(1x15664)
LCM = 69896510505536/15664
LCM = 4462238924
Thus, we can understand that the LCM of 356,979,814,412,598 is 4462238924.
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FAQs on LCM of 356, 979, 814, 412, 598
1. What is the LCM of 356, 979, 814, 412, 598?
Answer: LCM of 356, 979, 814, 412, 598 is 4462238924.
2. How to calculate the LCM of 356, 979, 814, 412, 598?
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 356, 979, 814, 412, 598.
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}.