LCM of 935, 369, 123, 785, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 369, 123, 785, 119 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 935, 369, 123, 785, 119. So, keep reading to learn more.
Given numbers are 935,369,123,785,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,369,123,785,119 is 379171485.
Find LCM of 935,369,123,785,119 with Prime Factorization
| 3 | 935, 369, 123, 785, 119 |
| 5 | 935, 123, 41, 785, 119 |
| 17 | 187, 123, 41, 157, 119 |
| 41 | 11, 123, 41, 157, 7 |
| 11, 3, 1, 157, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 41 x 11 x 3 x 1 x 157 x 7 = 379171485
Therefore, the lowest common multiple of 935,369,123,785,119 is 379171485.
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.
935 x 369 x 123 x 785 x 119 = 3964237875675
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
369 : 1, 3, 9, 41, 123, 369
123 : 1, 3, 41, 123
785 : 1, 5, 157, 785
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,369,123,785,119, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
369:3x 3x 41
123:3x 41
785:5x 157
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17x 41 = 10455
Therefore, the value for common factors is 10455.
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 = 3964237875675/(1x10455)
LCM = 3964237875675/10455
LCM = 379171485
Thus, we can understand that the LCM of 935,369,123,785,119 is 379171485.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 369, 123, 785, 119
1. What is the LCM of 935, 369, 123, 785, 119?
Answer: LCM of 935, 369, 123, 785, 119 is 379171485.
2. How to calculate the LCM of 935, 369, 123, 785, 119?
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 935, 369, 123, 785, 119.
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}.