LCM of 431, 750, 756, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 750, 756, 540 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 431, 750, 756, 540. So, keep reading to learn more.
Given numbers are 431,750,756,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,750,756,540 is 40729500.
Find LCM of 431,750,756,540 with Prime Factorization
| 2 | 431, 750, 756, 540 |
| 2 | 431, 375, 378, 270 |
| 3 | 431, 375, 189, 135 |
| 3 | 431, 125, 63, 45 |
| 3 | 431, 125, 21, 15 |
| 5 | 431, 125, 7, 5 |
| 431, 25, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 431 x 25 x 7 x 1 = 40729500
Therefore, the lowest common multiple of 431,750,756,540 is 40729500.
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.
431 x 750 x 756 x 540 = 131963580000
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.
431 : 1, 431
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,750,756,540, is 1.
Now, the common factors can be found like this.
431:431
750:2x 3x 5x 5x 5
756:2x 2x 3x 3x 3x 7
540:2x 2x 3x 3x 3x 5
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 131963580000/(1x3240)
LCM = 131963580000/3240
LCM = 40729500
Thus, we can understand that the LCM of 431,750,756,540 is 40729500.
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FAQs on LCM of 431, 750, 756, 540
1. What is the LCM of 431, 750, 756, 540?
Answer: LCM of 431, 750, 756, 540 is 40729500.
2. How to calculate the LCM of 431, 750, 756, 540?
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 431, 750, 756, 540.
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}.