LCM of 775, 679, 678, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 679, 678, 238 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 775, 679, 678, 238. So, keep reading to learn more.
Given numbers are 775,679,678,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,679,678,238 is 6065269350.
Find LCM of 775,679,678,238 with Prime Factorization
| 2 | 775, 679, 678, 238 |
| 7 | 775, 679, 339, 119 |
| 775, 97, 339, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 775 x 97 x 339 x 17 = 6065269350
Therefore, the lowest common multiple of 775,679,678,238 is 6065269350.
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.
775 x 679 x 678 x 238 = 84913770900
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.
775 : 1, 5, 25, 31, 155, 775
679 : 1, 7, 97, 679
678 : 1, 2, 3, 6, 113, 226, 339, 678
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,679,678,238, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
679:7x 97
678:2x 3x 113
238:2x 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.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 84913770900/(1x14)
LCM = 84913770900/14
LCM = 6065269350
Thus, we can understand that the LCM of 775,679,678,238 is 6065269350.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 775, 679, 678, 238
1. What is the LCM of 775, 679, 678, 238?
Answer: LCM of 775, 679, 678, 238 is 6065269350.
2. How to calculate the LCM of 775, 679, 678, 238?
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 775, 679, 678, 238.
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}.