LCM of 934, 559, 546, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 559, 546, 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 934, 559, 546, 674. So, keep reading to learn more.
Given numbers are 934,559,546,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,559,546,674 is 3694944162.
Find LCM of 934,559,546,674 with Prime Factorization
| 2 | 934, 559, 546, 674 |
| 13 | 467, 559, 273, 337 |
| 467, 43, 21, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 467 x 43 x 21 x 337 = 3694944162
Therefore, the lowest common multiple of 934,559,546,674 is 3694944162.
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.
934 x 559 x 546 x 674 = 192137096424
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.
934 : 1, 2, 467, 934
559 : 1, 13, 43, 559
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,559,546,674, is 1.
Now, the common factors can be found like this.
934:2x 467
559:13x 43
546:2x 3x 7x 13
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 2x 13 = 52
Therefore, the value for common factors is 52.
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 = 192137096424/(1x52)
LCM = 192137096424/52
LCM = 3694944162
Thus, we can understand that the LCM of 934,559,546,674 is 3694944162.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 934, 559, 546, 674
1. What is the LCM of 934, 559, 546, 674?
Answer: LCM of 934, 559, 546, 674 is 3694944162.
2. How to calculate the LCM of 934, 559, 546, 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 934, 559, 546, 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}.