LCM of 770, 135, 985, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 135, 985, 945 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 770, 135, 985, 945. So, keep reading to learn more.
Given numbers are 770,135,985,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,135,985,945 is 4095630.
Find LCM of 770,135,985,945 with Prime Factorization
| 3 | 770, 135, 985, 945 |
| 3 | 770, 45, 985, 315 |
| 3 | 770, 15, 985, 105 |
| 5 | 770, 5, 985, 35 |
| 7 | 154, 1, 197, 7 |
| 22, 1, 197, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 22 x 1 x 197 x 1 = 4095630
Therefore, the lowest common multiple of 770,135,985,945 is 4095630.
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.
770 x 135 x 985 x 945 = 96759258750
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
135 : 1, 3, 5, 9, 15, 27, 45, 135
985 : 1, 5, 197, 985
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,135,985,945, is 5.
Now, the common factors can be found like this.
770:2x 5x 7x 11
135:3x 3x 3x 5
985:5x 197
945:3x 3x 3x 5x 7
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 5x 5x 7 = 4725
Therefore, the value for common factors is 4725.
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 = 96759258750/(5x4725)
LCM = 96759258750/23625
LCM = 4095630
Thus, we can understand that the LCM of 770,135,985,945 is 4095630.
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FAQs on LCM of 770, 135, 985, 945
1. What is the LCM of 770, 135, 985, 945?
Answer: LCM of 770, 135, 985, 945 is 4095630.
2. How to calculate the LCM of 770, 135, 985, 945?
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 770, 135, 985, 945.
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}.