LCM of 122, 264, 546, 671, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 122, 264, 546, 671, 352 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 122, 264, 546, 671, 352. So, keep reading to learn more.
Given numbers are 122,264,546,671,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,264,546,671,352 is 5861856.
Find LCM of 122,264,546,671,352 with Prime Factorization
| 2 | 122, 264, 546, 671, 352 |
| 2 | 61, 132, 273, 671, 176 |
| 2 | 61, 66, 273, 671, 88 |
| 3 | 61, 33, 273, 671, 44 |
| 11 | 61, 11, 91, 671, 44 |
| 61 | 61, 1, 91, 61, 4 |
| 1, 1, 91, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 61 x 1 x 1 x 91 x 1 x 4 = 5861856
Therefore, the lowest common multiple of 122,264,546,671,352 is 5861856.
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.
122 x 264 x 546 x 671 x 352 = 4153570477056
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.
122 : 1, 2, 61, 122
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
671 : 1, 11, 61, 671
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,264,546,671,352, is 1.
Now, the common factors can be found like this.
122:2x 61
264:2x 2x 2x 3x 11
546:2x 3x 7x 13
671:11x 61
352:2x 2x 2x 2x 2x 11
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 2x 2x 2x 3x 11x 11x 61 = 708576
Therefore, the value for common factors is 708576.
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 = 4153570477056/(1x708576)
LCM = 4153570477056/708576
LCM = 5861856
Thus, we can understand that the LCM of 122,264,546,671,352 is 5861856.
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FAQs on LCM of 122, 264, 546, 671, 352
1. What is the LCM of 122, 264, 546, 671, 352?
Answer: LCM of 122, 264, 546, 671, 352 is 5861856.
2. How to calculate the LCM of 122, 264, 546, 671, 352?
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 122, 264, 546, 671, 352.
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}.