Find the LCM of 970, 174, 399, 551, 601 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 970, 174, 399, 551, 601. So, keep reading to learn more.
Given numbers are 970,174,399,551,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,174,399,551,601 is 6745545870.
Find LCM of 970,174,399,551,601 with Prime Factorization
2 | 970, 174, 399, 551, 601 |
3 | 485, 87, 399, 551, 601 |
19 | 485, 29, 133, 551, 601 |
29 | 485, 29, 7, 29, 601 |
485, 1, 7, 1, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 29 x 485 x 1 x 7 x 1 x 601 = 6745545870
Therefore, the lowest common multiple of 970,174,399,551,601 is 6745545870.
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.
970 x 174 x 399 x 551 x 601 = 22300774646220
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
174 : 1, 2, 3, 6, 29, 58, 87, 174
399 : 1, 3, 7, 19, 21, 57, 133, 399
551 : 1, 19, 29, 551
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,174,399,551,601, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
174:2x 3x 29
399:3x 7x 19
551:19x 29
601:601
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19x 29 = 3306
Therefore, the value for common factors is 3306.
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 = 22300774646220/(1x3306)
LCM = 22300774646220/3306
LCM = 6745545870
Thus, we can understand that the LCM of 970,174,399,551,601 is 6745545870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 174, 399, 551, 601?
Answer: LCM of 970, 174, 399, 551, 601 is 6745545870.
2. How to calculate the LCM of 970, 174, 399, 551, 601?
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 970, 174, 399, 551, 601.
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}.