LCM of 546, 559, 318, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 559, 318, 637 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 546, 559, 318, 637. So, keep reading to learn more.
Given numbers are 546,559,318,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,559,318,637 is 8710338.
Find LCM of 546,559,318,637 with Prime Factorization
| 2 | 546, 559, 318, 637 |
| 3 | 273, 559, 159, 637 |
| 7 | 91, 559, 53, 637 |
| 13 | 13, 559, 53, 91 |
| 1, 43, 53, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 43 x 53 x 7 = 8710338
Therefore, the lowest common multiple of 546,559,318,637 is 8710338.
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.
546 x 559 x 318 x 637 = 61825979124
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
559 : 1, 13, 43, 559
318 : 1, 2, 3, 6, 53, 106, 159, 318
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,559,318,637, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
559:13x 43
318:2x 3x 53
637:7x 7x 13
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 7x 13x 13 = 7098
Therefore, the value for common factors is 7098.
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 = 61825979124/(1x7098)
LCM = 61825979124/7098
LCM = 8710338
Thus, we can understand that the LCM of 546,559,318,637 is 8710338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 559, 318, 637
1. What is the LCM of 546, 559, 318, 637?
Answer: LCM of 546, 559, 318, 637 is 8710338.
2. How to calculate the LCM of 546, 559, 318, 637?
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 546, 559, 318, 637.
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}.