LCM of 319, 737, 518, 605, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 737, 518, 605, 649 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 319, 737, 518, 605, 649. So, keep reading to learn more.
Given numbers are 319,737,518,605,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,737,518,605,649 is 35926089430.
Find LCM of 319,737,518,605,649 with Prime Factorization
| 11 | 319, 737, 518, 605, 649 |
| 29, 67, 518, 55, 59 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 67 x 518 x 55 x 59 = 35926089430
Therefore, the lowest common multiple of 319,737,518,605,649 is 35926089430.
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.
319 x 737 x 518 x 605 x 649 = 47817625031330
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.
319 : 1, 11, 29, 319
737 : 1, 11, 67, 737
518 : 1, 2, 7, 14, 37, 74, 259, 518
605 : 1, 5, 11, 55, 121, 605
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,737,518,605,649, is 1.
Now, the common factors can be found like this.
319:11x 29
737:11x 67
518:2x 7x 37
605:5x 11x 11
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 11 = 1331
Therefore, the value for common factors is 1331.
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 = 47817625031330/(1x1331)
LCM = 47817625031330/1331
LCM = 35926089430
Thus, we can understand that the LCM of 319,737,518,605,649 is 35926089430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 737, 518, 605, 649
1. What is the LCM of 319, 737, 518, 605, 649?
Answer: LCM of 319, 737, 518, 605, 649 is 35926089430.
2. How to calculate the LCM of 319, 737, 518, 605, 649?
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 319, 737, 518, 605, 649.
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}.