LCM of 598, 690, 207, 697, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 690, 207, 697, 102 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, 690, 207, 697, 102. So, keep reading to learn more.
Given numbers are 598,690,207,697,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,690,207,697,102 is 18756270.
Find LCM of 598,690,207,697,102 with Prime Factorization
| 2 | 598, 690, 207, 697, 102 |
| 3 | 299, 345, 207, 697, 51 |
| 17 | 299, 115, 69, 697, 17 |
| 23 | 299, 115, 69, 41, 1 |
| 13, 5, 3, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 13 x 5 x 3 x 41 x 1 = 18756270
Therefore, the lowest common multiple of 598,690,207,697,102 is 18756270.
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 690 x 207 x 697 x 102 = 6072304899960
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
207 : 1, 3, 9, 23, 69, 207
697 : 1, 17, 41, 697
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,690,207,697,102, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
690:2x 3x 5x 23
207:3x 3x 23
697:17x 41
102:2x 3x 17
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 3x 3x 17x 23x 23 = 323748
Therefore, the value for common factors is 323748.
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 = 6072304899960/(1x323748)
LCM = 6072304899960/323748
LCM = 18756270
Thus, we can understand that the LCM of 598,690,207,697,102 is 18756270.
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FAQs on LCM of 598, 690, 207, 697, 102
1. What is the LCM of 598, 690, 207, 697, 102?
Answer: LCM of 598, 690, 207, 697, 102 is 18756270.
2. How to calculate the LCM of 598, 690, 207, 697, 102?
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, 690, 207, 697, 102.
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}.