Find the LCM of 967, 988, 608, 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 967, 988, 608, 598. So, keep reading to learn more.
Given numbers are 967,988,608,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,988,608,598 is 175792864.
Find LCM of 967,988,608,598 with Prime Factorization
2 | 967, 988, 608, 598 |
2 | 967, 494, 304, 299 |
13 | 967, 247, 152, 299 |
19 | 967, 19, 152, 23 |
967, 1, 8, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 967 x 1 x 8 x 23 = 175792864
Therefore, the lowest common multiple of 967,988,608,598 is 175792864.
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.
967 x 988 x 608 x 598 = 347366699264
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.
967 : 1, 967
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
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 967,988,608,598, is 1.
Now, the common factors can be found like this.
967:967
988:2x 2x 13x 19
608:2x 2x 2x 2x 2x 19
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 347366699264/(1x1976)
LCM = 347366699264/1976
LCM = 175792864
Thus, we can understand that the LCM of 967,988,608,598 is 175792864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 988, 608, 598?
Answer: LCM of 967, 988, 608, 598 is 175792864.
2. How to calculate the LCM of 967, 988, 608, 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 967, 988, 608, 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}.