LCM of 485, 674, 679, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 674, 679, 674 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 485, 674, 679, 674. So, keep reading to learn more.
Given numbers are 485,674,679,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,674,679,674 is 2288230.
Find LCM of 485,674,679,674 with Prime Factorization
| 2 | 485, 674, 679, 674 |
| 97 | 485, 337, 679, 337 |
| 337 | 5, 337, 7, 337 |
| 5, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 97 x 337 x 5 x 1 x 7 x 1 = 2288230
Therefore, the lowest common multiple of 485,674,679,674 is 2288230.
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.
485 x 674 x 679 x 674 = 149599900940
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.
485 : 1, 5, 97, 485
674 : 1, 2, 337, 674
679 : 1, 7, 97, 679
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,674,679,674, is 1.
Now, the common factors can be found like this.
485:5x 97
674:2x 337
679:7x 97
674:2x 337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 97x 337 = 65378
Therefore, the value for common factors is 65378.
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 = 149599900940/(1x65378)
LCM = 149599900940/65378
LCM = 2288230
Thus, we can understand that the LCM of 485,674,679,674 is 2288230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 485, 674, 679, 674
1. What is the LCM of 485, 674, 679, 674?
Answer: LCM of 485, 674, 679, 674 is 2288230.
2. How to calculate the LCM of 485, 674, 679, 674?
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 485, 674, 679, 674.
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}.