LCM of 935, 314, 510, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 314, 510, 609 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, 314, 510, 609. So, keep reading to learn more.
Given numbers are 935,314,510,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,314,510,609 is 178796310.
Find LCM of 935,314,510,609 with Prime Factorization
| 2 | 935, 314, 510, 609 |
| 3 | 935, 157, 255, 609 |
| 5 | 935, 157, 85, 203 |
| 17 | 187, 157, 17, 203 |
| 11, 157, 1, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 11 x 157 x 1 x 203 = 178796310
Therefore, the lowest common multiple of 935,314,510,609 is 178796310.
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 314 x 510 x 609 = 91186118100
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
314 : 1, 2, 157, 314
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,314,510,609, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
314:2x 157
510:2x 3x 5x 17
609:3x 7x 29
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 91186118100/(1x510)
LCM = 91186118100/510
LCM = 178796310
Thus, we can understand that the LCM of 935,314,510,609 is 178796310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 314, 510, 609
1. What is the LCM of 935, 314, 510, 609?
Answer: LCM of 935, 314, 510, 609 is 178796310.
2. How to calculate the LCM of 935, 314, 510, 609?
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, 314, 510, 609.
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}.