LCM of 698, 138, 156, 589, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 138, 156, 589, 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 698, 138, 156, 589, 598. So, keep reading to learn more.
Given numbers are 698,138,156,589,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,138,156,589,598 is 737552868.
Find LCM of 698,138,156,589,598 with Prime Factorization
| 2 | 698, 138, 156, 589, 598 |
| 3 | 349, 69, 78, 589, 299 |
| 13 | 349, 23, 26, 589, 299 |
| 23 | 349, 23, 2, 589, 23 |
| 349, 1, 2, 589, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 349 x 1 x 2 x 589 x 1 = 737552868
Therefore, the lowest common multiple of 698,138,156,589,598 is 737552868.
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.
698 x 138 x 156 x 589 x 598 = 5292679380768
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.
698 : 1, 2, 349, 698
138 : 1, 2, 3, 6, 23, 46, 69, 138
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
589 : 1, 19, 31, 589
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 698,138,156,589,598, is 1.
Now, the common factors can be found like this.
698:2x 349
138:2x 3x 23
156:2x 2x 3x 13
589:19x 31
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 3x 13x 23 = 7176
Therefore, the value for common factors is 7176.
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 = 5292679380768/(1x7176)
LCM = 5292679380768/7176
LCM = 737552868
Thus, we can understand that the LCM of 698,138,156,589,598 is 737552868.
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FAQs on LCM of 698, 138, 156, 589, 598
1. What is the LCM of 698, 138, 156, 589, 598?
Answer: LCM of 698, 138, 156, 589, 598 is 737552868.
2. How to calculate the LCM of 698, 138, 156, 589, 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 698, 138, 156, 589, 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}.