Find the LCM of 739, 871, 598, 253, 667 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 739, 871, 598, 253, 667. So, keep reading to learn more.
Given numbers are 739,871,598,253,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,871,598,253,667 is 9445198906.
Find LCM of 739,871,598,253,667 with Prime Factorization
13 | 739, 871, 598, 253, 667 |
23 | 739, 67, 46, 253, 667 |
739, 67, 2, 11, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 739 x 67 x 2 x 11 x 29 = 9445198906
Therefore, the lowest common multiple of 739,871,598,253,667 is 9445198906.
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.
739 x 871 x 598 x 253 x 667 = 64954632876562
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.
739 : 1, 739
871 : 1, 13, 67, 871
598 : 1, 2, 13, 23, 26, 46, 299, 598
253 : 1, 11, 23, 253
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,871,598,253,667, is 1.
Now, the common factors can be found like this.
739:739
871:13x 67
598:2x 13x 23
253:11x 23
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23x 23 = 6877
Therefore, the value for common factors is 6877.
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 = 64954632876562/(1x6877)
LCM = 64954632876562/6877
LCM = 9445198906
Thus, we can understand that the LCM of 739,871,598,253,667 is 9445198906.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 871, 598, 253, 667?
Answer: LCM of 739, 871, 598, 253, 667 is 9445198906.
2. How to calculate the LCM of 739, 871, 598, 253, 667?
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 739, 871, 598, 253, 667.
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}.