LCM of 450, 611, 705, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 611, 705, 550 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 450, 611, 705, 550. So, keep reading to learn more.
Given numbers are 450,611,705,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,611,705,550 is 3024450.
Find LCM of 450,611,705,550 with Prime Factorization
| 2 | 450, 611, 705, 550 |
| 3 | 225, 611, 705, 275 |
| 5 | 75, 611, 235, 275 |
| 5 | 15, 611, 47, 55 |
| 47 | 3, 611, 47, 11 |
| 3, 13, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 47 x 3 x 13 x 1 x 11 = 3024450
Therefore, the lowest common multiple of 450,611,705,550 is 3024450.
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.
450 x 611 x 705 x 550 = 106611862500
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
611 : 1, 13, 47, 611
705 : 1, 3, 5, 15, 47, 141, 235, 705
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,611,705,550, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
611:13x 47
705:3x 5x 47
550:2x 5x 5x 11
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 5x 5x 47 = 35250
Therefore, the value for common factors is 35250.
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 = 106611862500/(1x35250)
LCM = 106611862500/35250
LCM = 3024450
Thus, we can understand that the LCM of 450,611,705,550 is 3024450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 450, 611, 705, 550
1. What is the LCM of 450, 611, 705, 550?
Answer: LCM of 450, 611, 705, 550 is 3024450.
2. How to calculate the LCM of 450, 611, 705, 550?
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 450, 611, 705, 550.
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}.