LCM of 694, 170, 189, 185, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 170, 189, 185, 931 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 694, 170, 189, 185, 931. So, keep reading to learn more.
Given numbers are 694,170,189,185,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,170,189,185,931 is 54864770310.
Find LCM of 694,170,189,185,931 with Prime Factorization
| 2 | 694, 170, 189, 185, 931 |
| 5 | 347, 85, 189, 185, 931 |
| 7 | 347, 17, 189, 37, 931 |
| 347, 17, 27, 37, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 347 x 17 x 27 x 37 x 133 = 54864770310
Therefore, the lowest common multiple of 694,170,189,185,931 is 54864770310.
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.
694 x 170 x 189 x 185 x 931 = 3840533921700
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.
694 : 1, 2, 347, 694
170 : 1, 2, 5, 10, 17, 34, 85, 170
189 : 1, 3, 7, 9, 21, 27, 63, 189
185 : 1, 5, 37, 185
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,170,189,185,931, is 1.
Now, the common factors can be found like this.
694:2x 347
170:2x 5x 17
189:3x 3x 3x 7
185:5x 37
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 3840533921700/(1x70)
LCM = 3840533921700/70
LCM = 54864770310
Thus, we can understand that the LCM of 694,170,189,185,931 is 54864770310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 170, 189, 185, 931
1. What is the LCM of 694, 170, 189, 185, 931?
Answer: LCM of 694, 170, 189, 185, 931 is 54864770310.
2. How to calculate the LCM of 694, 170, 189, 185, 931?
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 694, 170, 189, 185, 931.
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}.