LCM of 371, 749, 722, 505, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 749, 722, 505, 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 371, 749, 722, 505, 598. So, keep reading to learn more.
Given numbers are 371,749,722,505,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,749,722,505,598 is 4327703027830.
Find LCM of 371,749,722,505,598 with Prime Factorization
| 2 | 371, 749, 722, 505, 598 |
| 7 | 371, 749, 361, 505, 299 |
| 53, 107, 361, 505, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 107 x 361 x 505 x 299 = 4327703027830
Therefore, the lowest common multiple of 371,749,722,505,598 is 4327703027830.
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.
371 x 749 x 722 x 505 x 598 = 60587842389620
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.
371 : 1, 7, 53, 371
749 : 1, 7, 107, 749
722 : 1, 2, 19, 38, 361, 722
505 : 1, 5, 101, 505
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 371,749,722,505,598, is 1.
Now, the common factors can be found like this.
371:7x 53
749:7x 107
722:2x 19x 19
505:5x 101
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 7 = 14
Therefore, the value for common factors is 14.
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 = 60587842389620/(1x14)
LCM = 60587842389620/14
LCM = 4327703027830
Thus, we can understand that the LCM of 371,749,722,505,598 is 4327703027830.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 371, 749, 722, 505, 598
1. What is the LCM of 371, 749, 722, 505, 598?
Answer: LCM of 371, 749, 722, 505, 598 is 4327703027830.
2. How to calculate the LCM of 371, 749, 722, 505, 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 371, 749, 722, 505, 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}.