Find the LCM of 749, 498, 670, 319, 737 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 749, 498, 670, 319, 737. So, keep reading to learn more.
Given numbers are 749,498,670,319,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,498,670,319,737 is 39860858730.
Find LCM of 749,498,670,319,737 with Prime Factorization
2 | 749, 498, 670, 319, 737 |
11 | 749, 249, 335, 319, 737 |
67 | 749, 249, 335, 29, 67 |
749, 249, 5, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 67 x 749 x 249 x 5 x 29 x 1 = 39860858730
Therefore, the lowest common multiple of 749,498,670,319,737 is 39860858730.
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.
749 x 498 x 670 x 319 x 737 = 58754905768020
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.
749 : 1, 7, 107, 749
498 : 1, 2, 3, 6, 83, 166, 249, 498
670 : 1, 2, 5, 10, 67, 134, 335, 670
319 : 1, 11, 29, 319
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,498,670,319,737, is 1.
Now, the common factors can be found like this.
749:7x 107
498:2x 3x 83
670:2x 5x 67
319:11x 29
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 67 = 1474
Therefore, the value for common factors is 1474.
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 = 58754905768020/(1x1474)
LCM = 58754905768020/1474
LCM = 39860858730
Thus, we can understand that the LCM of 749,498,670,319,737 is 39860858730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 498, 670, 319, 737?
Answer: LCM of 749, 498, 670, 319, 737 is 39860858730.
2. How to calculate the LCM of 749, 498, 670, 319, 737?
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 749, 498, 670, 319, 737.
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}.