LCM of 754, 559, 720, 736, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 559, 720, 736, 506 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 754, 559, 720, 736, 506. So, keep reading to learn more.
Given numbers are 754,559,720,736,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,559,720,736,506 is 5905991520.
Find LCM of 754,559,720,736,506 with Prime Factorization
| 2 | 754, 559, 720, 736, 506 |
| 2 | 377, 559, 360, 368, 253 |
| 2 | 377, 559, 180, 184, 253 |
| 2 | 377, 559, 90, 92, 253 |
| 13 | 377, 559, 45, 46, 253 |
| 23 | 29, 43, 45, 46, 253 |
| 29, 43, 45, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 23 x 29 x 43 x 45 x 2 x 11 = 5905991520
Therefore, the lowest common multiple of 754,559,720,736,506 is 5905991520.
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.
754 x 559 x 720 x 736 x 506 = 113017053726720
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
559 : 1, 13, 43, 559
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,559,720,736,506, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
559:13x 43
720:2x 2x 2x 2x 3x 3x 5
736:2x 2x 2x 2x 2x 23
506:2x 11x 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 2x 2x 2x 2x 2x 13x 23 = 19136
Therefore, the value for common factors is 19136.
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 = 113017053726720/(1x19136)
LCM = 113017053726720/19136
LCM = 5905991520
Thus, we can understand that the LCM of 754,559,720,736,506 is 5905991520.
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FAQs on LCM of 754, 559, 720, 736, 506
1. What is the LCM of 754, 559, 720, 736, 506?
Answer: LCM of 754, 559, 720, 736, 506 is 5905991520.
2. How to calculate the LCM of 754, 559, 720, 736, 506?
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 754, 559, 720, 736, 506.
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}.