Find the LCM of 598, 363, 978, 690 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, 363, 978, 690. So, keep reading to learn more.
Given numbers are 598,363,978,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,363,978,690 is 176915310.
Find LCM of 598,363,978,690 with Prime Factorization
2 | 598, 363, 978, 690 |
3 | 299, 363, 489, 345 |
23 | 299, 121, 163, 115 |
13, 121, 163, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 13 x 121 x 163 x 5 = 176915310
Therefore, the lowest common multiple of 598,363,978,690 is 176915310.
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 363 x 978 x 690 = 146485876680
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
363 : 1, 3, 11, 33, 121, 363
978 : 1, 2, 3, 6, 163, 326, 489, 978
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,363,978,690, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
363:3x 11x 11
978:2x 3x 163
690:2x 3x 5x 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 3x 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 146485876680/(1x828)
LCM = 146485876680/828
LCM = 176915310
Thus, we can understand that the LCM of 598,363,978,690 is 176915310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 363, 978, 690?
Answer: LCM of 598, 363, 978, 690 is 176915310.
2. How to calculate the LCM of 598, 363, 978, 690?
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, 363, 978, 690.
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}.