LCM of 598, 701, 299, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 701, 299, 212 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 598, 701, 299, 212. So, keep reading to learn more.
Given numbers are 598,701,299,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,701,299,212 is 44434988.
Find LCM of 598,701,299,212 with Prime Factorization
| 2 | 598, 701, 299, 212 |
| 13 | 299, 701, 299, 106 |
| 23 | 23, 701, 23, 106 |
| 1, 701, 1, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 1 x 701 x 1 x 106 = 44434988
Therefore, the lowest common multiple of 598,701,299,212 is 44434988.
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.
598 x 701 x 299 x 212 = 26572122824
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
701 : 1, 701
299 : 1, 13, 23, 299
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,701,299,212, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
701:701
299:13x 23
212:2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 26572122824/(1x598)
LCM = 26572122824/598
LCM = 44434988
Thus, we can understand that the LCM of 598,701,299,212 is 44434988.
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FAQs on LCM of 598, 701, 299, 212
1. What is the LCM of 598, 701, 299, 212?
Answer: LCM of 598, 701, 299, 212 is 44434988.
2. How to calculate the LCM of 598, 701, 299, 212?
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 598, 701, 299, 212.
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}.