LCM of 598, 442, 920, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 442, 920, 599 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, 442, 920, 599. So, keep reading to learn more.
Given numbers are 598,442,920,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,442,920,599 is 121788680.
Find LCM of 598,442,920,599 with Prime Factorization
| 2 | 598, 442, 920, 599 |
| 13 | 299, 221, 460, 599 |
| 23 | 23, 17, 460, 599 |
| 1, 17, 20, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 1 x 17 x 20 x 599 = 121788680
Therefore, the lowest common multiple of 598,442,920,599 is 121788680.
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 442 x 920 x 599 = 145659261280
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,442,920,599, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
442:2x 13x 17
920:2x 2x 2x 5x 23
599:599
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 145659261280/(1x1196)
LCM = 145659261280/1196
LCM = 121788680
Thus, we can understand that the LCM of 598,442,920,599 is 121788680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 442, 920, 599
1. What is the LCM of 598, 442, 920, 599?
Answer: LCM of 598, 442, 920, 599 is 121788680.
2. How to calculate the LCM of 598, 442, 920, 599?
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, 442, 920, 599.
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}.