LCM of 135, 315, 945, 875, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 315, 945, 875, 759 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 135, 315, 945, 875, 759. So, keep reading to learn more.
Given numbers are 135,315,945,875,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,315,945,875,759 is 5977125.
Find LCM of 135,315,945,875,759 with Prime Factorization
| 3 | 135, 315, 945, 875, 759 |
| 3 | 45, 105, 315, 875, 253 |
| 3 | 15, 35, 105, 875, 253 |
| 5 | 5, 35, 35, 875, 253 |
| 7 | 1, 7, 7, 175, 253 |
| 1, 1, 1, 25, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 1 x 1 x 1 x 25 x 253 = 5977125
Therefore, the lowest common multiple of 135,315,945,875,759 is 5977125.
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.
135 x 315 x 945 x 875 x 759 = 26688610265625
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
875 : 1, 5, 7, 25, 35, 125, 175, 875
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,315,945,875,759, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
315:3x 3x 5x 7
945:3x 3x 3x 5x 7
875:5x 5x 5x 7
759:3x 11x 23
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 3x 3x 5x 5x 5x 7x 7 = 4465125
Therefore, the value for common factors is 4465125.
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 = 26688610265625/(1x4465125)
LCM = 26688610265625/4465125
LCM = 5977125
Thus, we can understand that the LCM of 135,315,945,875,759 is 5977125.
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FAQs on LCM of 135, 315, 945, 875, 759
1. What is the LCM of 135, 315, 945, 875, 759?
Answer: LCM of 135, 315, 945, 875, 759 is 5977125.
2. How to calculate the LCM of 135, 315, 945, 875, 759?
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 135, 315, 945, 875, 759.
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}.