LCM of 546, 662, 559, 527, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 662, 559, 527, 931 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, 662, 559, 527, 931. So, keep reading to learn more.
Given numbers are 546,662,559,527,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,662,559,527,931 is 544692440838.
Find LCM of 546,662,559,527,931 with Prime Factorization
| 2 | 546, 662, 559, 527, 931 |
| 7 | 273, 331, 559, 527, 931 |
| 13 | 39, 331, 559, 527, 133 |
| 3, 331, 43, 527, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 3 x 331 x 43 x 527 x 133 = 544692440838
Therefore, the lowest common multiple of 546,662,559,527,931 is 544692440838.
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 662 x 559 x 527 x 931 = 99134024232516
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
662 : 1, 2, 331, 662
559 : 1, 13, 43, 559
527 : 1, 17, 31, 527
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,662,559,527,931, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
662:2x 331
559:13x 43
527:17x 31
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 99134024232516/(1x182)
LCM = 99134024232516/182
LCM = 544692440838
Thus, we can understand that the LCM of 546,662,559,527,931 is 544692440838.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 662, 559, 527, 931
1. What is the LCM of 546, 662, 559, 527, 931?
Answer: LCM of 546, 662, 559, 527, 931 is 544692440838.
2. How to calculate the LCM of 546, 662, 559, 527, 931?
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, 662, 559, 527, 931.
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}.