LCM of 975, 126, 315, 147, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 126, 315, 147, 431 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 975, 126, 315, 147, 431. So, keep reading to learn more.
Given numbers are 975,126,315,147,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,126,315,147,431 is 123546150.
Find LCM of 975,126,315,147,431 with Prime Factorization
| 3 | 975, 126, 315, 147, 431 |
| 3 | 325, 42, 105, 49, 431 |
| 5 | 325, 14, 35, 49, 431 |
| 7 | 65, 14, 7, 49, 431 |
| 65, 2, 1, 7, 431 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 65 x 2 x 1 x 7 x 431 = 123546150
Therefore, the lowest common multiple of 975,126,315,147,431 is 123546150.
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.
975 x 126 x 315 x 147 x 431 = 2451773346750
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
147 : 1, 3, 7, 21, 49, 147
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,126,315,147,431, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
126:2x 3x 3x 7
315:3x 3x 5x 7
147:3x 7x 7
431:431
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 5x 7x 7 = 19845
Therefore, the value for common factors is 19845.
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 = 2451773346750/(1x19845)
LCM = 2451773346750/19845
LCM = 123546150
Thus, we can understand that the LCM of 975,126,315,147,431 is 123546150.
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FAQs on LCM of 975, 126, 315, 147, 431
1. What is the LCM of 975, 126, 315, 147, 431?
Answer: LCM of 975, 126, 315, 147, 431 is 123546150.
2. How to calculate the LCM of 975, 126, 315, 147, 431?
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 975, 126, 315, 147, 431.
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}.