LCM of 699, 315, 189, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 315, 189, 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 699, 315, 189, 945. So, keep reading to learn more.
Given numbers are 699,315,189,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,315,189,945 is 220185.
Find LCM of 699,315,189,945 with Prime Factorization
| 3 | 699, 315, 189, 945 |
| 3 | 233, 105, 63, 315 |
| 3 | 233, 35, 21, 105 |
| 5 | 233, 35, 7, 35 |
| 7 | 233, 7, 7, 7 |
| 233, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 233 x 1 x 1 x 1 = 220185
Therefore, the lowest common multiple of 699,315,189,945 is 220185.
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.
699 x 315 x 189 x 945 = 39326141925
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.
699 : 1, 3, 233, 699
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
189 : 1, 3, 7, 9, 21, 27, 63, 189
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,315,189,945, is 3.
Now, the common factors can be found like this.
699:3x 233
315:3x 3x 5x 7
189:3x 3x 3x 7
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 3x 3x 5x 7x 7 = 59535
Therefore, the value for common factors is 59535.
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 = 39326141925/(3x59535)
LCM = 39326141925/178605
LCM = 220185
Thus, we can understand that the LCM of 699,315,189,945 is 220185.
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FAQs on LCM of 699, 315, 189, 945
1. What is the LCM of 699, 315, 189, 945?
Answer: LCM of 699, 315, 189, 945 is 220185.
2. How to calculate the LCM of 699, 315, 189, 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 699, 315, 189, 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}.