LCM of 440, 990, 507, 737, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 990, 507, 737, 689 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 440, 990, 507, 737, 689. So, keep reading to learn more.
Given numbers are 440,990,507,737,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,990,507,737,689 is 2376471240.
Find LCM of 440,990,507,737,689 with Prime Factorization
| 2 | 440, 990, 507, 737, 689 |
| 3 | 220, 495, 507, 737, 689 |
| 5 | 220, 165, 169, 737, 689 |
| 11 | 44, 33, 169, 737, 689 |
| 13 | 4, 3, 169, 67, 689 |
| 4, 3, 13, 67, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 4 x 3 x 13 x 67 x 53 = 2376471240
Therefore, the lowest common multiple of 440,990,507,737,689 is 2376471240.
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.
440 x 990 x 507 x 737 x 689 = 112145677815600
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
507 : 1, 3, 13, 39, 169, 507
737 : 1, 11, 67, 737
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,990,507,737,689, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
990:2x 3x 3x 5x 11
507:3x 13x 13
737:11x 67
689:13x 53
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 5x 11x 11x 13 = 47190
Therefore, the value for common factors is 47190.
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 = 112145677815600/(1x47190)
LCM = 112145677815600/47190
LCM = 2376471240
Thus, we can understand that the LCM of 440,990,507,737,689 is 2376471240.
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FAQs on LCM of 440, 990, 507, 737, 689
1. What is the LCM of 440, 990, 507, 737, 689?
Answer: LCM of 440, 990, 507, 737, 689 is 2376471240.
2. How to calculate the LCM of 440, 990, 507, 737, 689?
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 440, 990, 507, 737, 689.
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}.