LCM of 480, 450, 905, 736, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 450, 905, 736, 755 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 480, 450, 905, 736, 755. So, keep reading to learn more.
Given numbers are 480,450,905,736,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,450,905,736,755 is 4526013600.
Find LCM of 480,450,905,736,755 with Prime Factorization
| 2 | 480, 450, 905, 736, 755 |
| 2 | 240, 225, 905, 368, 755 |
| 2 | 120, 225, 905, 184, 755 |
| 2 | 60, 225, 905, 92, 755 |
| 2 | 30, 225, 905, 46, 755 |
| 3 | 15, 225, 905, 23, 755 |
| 5 | 5, 75, 905, 23, 755 |
| 1, 15, 181, 23, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 15 x 181 x 23 x 151 = 4526013600
Therefore, the lowest common multiple of 480,450,905,736,755 is 4526013600.
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.
480 x 450 x 905 x 736 x 755 = 108624326400000
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
905 : 1, 5, 181, 905
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,450,905,736,755, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
450:2x 3x 3x 5x 5
905:5x 181
736:2x 2x 2x 2x 2x 23
755:5x 151
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 3x 5x 5x 5 = 24000
Therefore, the value for common factors is 24000.
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 = 108624326400000/(1x24000)
LCM = 108624326400000/24000
LCM = 4526013600
Thus, we can understand that the LCM of 480,450,905,736,755 is 4526013600.
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FAQs on LCM of 480, 450, 905, 736, 755
1. What is the LCM of 480, 450, 905, 736, 755?
Answer: LCM of 480, 450, 905, 736, 755 is 4526013600.
2. How to calculate the LCM of 480, 450, 905, 736, 755?
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 480, 450, 905, 736, 755.
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}.