LCM of 525, 270, 966, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 270, 966, 723 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 525, 270, 966, 723. So, keep reading to learn more.
Given numbers are 525,270,966,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,270,966,723 is 52381350.
Find LCM of 525,270,966,723 with Prime Factorization
| 2 | 525, 270, 966, 723 |
| 3 | 525, 135, 483, 723 |
| 5 | 175, 45, 161, 241 |
| 7 | 35, 9, 161, 241 |
| 5, 9, 23, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 5 x 9 x 23 x 241 = 52381350
Therefore, the lowest common multiple of 525,270,966,723 is 52381350.
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.
525 x 270 x 966 x 723 = 99000751500
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
723 : 1, 3, 241, 723
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,270,966,723, is 3.
Now, the common factors can be found like this.
525:3x 5x 5x 7
270:2x 3x 3x 3x 5
966:2x 3x 7x 23
723:3x 241
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 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 99000751500/(3x630)
LCM = 99000751500/1890
LCM = 52381350
Thus, we can understand that the LCM of 525,270,966,723 is 52381350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 525, 270, 966, 723
1. What is the LCM of 525, 270, 966, 723?
Answer: LCM of 525, 270, 966, 723 is 52381350.
2. How to calculate the LCM of 525, 270, 966, 723?
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 525, 270, 966, 723.
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}.