LCM of 933, 694, 719, 945, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 694, 719, 945, 694 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 933, 694, 719, 945, 694. So, keep reading to learn more.
Given numbers are 933,694,719,945,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,694,719,945,694 is 146649490470.
Find LCM of 933,694,719,945,694 with Prime Factorization
| 2 | 933, 694, 719, 945, 694 |
| 3 | 933, 347, 719, 945, 347 |
| 347 | 311, 347, 719, 315, 347 |
| 311, 1, 719, 315, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 347 x 311 x 1 x 719 x 315 x 1 = 146649490470
Therefore, the lowest common multiple of 933,694,719,945,694 is 146649490470.
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.
933 x 694 x 719 x 945 x 694 = 305324239158540
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.
933 : 1, 3, 311, 933
694 : 1, 2, 347, 694
719 : 1, 719
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,694,719,945,694, is 1.
Now, the common factors can be found like this.
933:3x 311
694:2x 347
719:719
945:3x 3x 3x 5x 7
694:2x 347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 347 = 2082
Therefore, the value for common factors is 2082.
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 = 305324239158540/(1x2082)
LCM = 305324239158540/2082
LCM = 146649490470
Thus, we can understand that the LCM of 933,694,719,945,694 is 146649490470.
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FAQs on LCM of 933, 694, 719, 945, 694
1. What is the LCM of 933, 694, 719, 945, 694?
Answer: LCM of 933, 694, 719, 945, 694 is 146649490470.
2. How to calculate the LCM of 933, 694, 719, 945, 694?
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 933, 694, 719, 945, 694.
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}.