LCM of 297, 567, 611, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 567, 611, 450 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 297, 567, 611, 450. So, keep reading to learn more.
Given numbers are 297,567,611,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,567,611,450 is 190540350.
Find LCM of 297,567,611,450 with Prime Factorization
| 3 | 297, 567, 611, 450 |
| 3 | 99, 189, 611, 150 |
| 3 | 33, 63, 611, 50 |
| 11, 21, 611, 50 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 21 x 611 x 50 = 190540350
Therefore, the lowest common multiple of 297,567,611,450 is 190540350.
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.
297 x 567 x 611 x 450 = 46301305050
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
611 : 1, 13, 47, 611
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,567,611,450, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
567:3x 3x 3x 3x 7
611:13x 47
450:2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 46301305050/(1x243)
LCM = 46301305050/243
LCM = 190540350
Thus, we can understand that the LCM of 297,567,611,450 is 190540350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 567, 611, 450
1. What is the LCM of 297, 567, 611, 450?
Answer: LCM of 297, 567, 611, 450 is 190540350.
2. How to calculate the LCM of 297, 567, 611, 450?
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 297, 567, 611, 450.
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}.