LCM of 546, 234, 658, 442, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 234, 658, 442, 448 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, 234, 658, 442, 448. So, keep reading to learn more.
Given numbers are 546,234,658,442,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,234,658,442,448 is 41880384.
Find LCM of 546,234,658,442,448 with Prime Factorization
| 2 | 546, 234, 658, 442, 448 |
| 3 | 273, 117, 329, 221, 224 |
| 7 | 91, 39, 329, 221, 224 |
| 13 | 13, 39, 47, 221, 32 |
| 1, 3, 47, 17, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 3 x 47 x 17 x 32 = 41880384
Therefore, the lowest common multiple of 546,234,658,442,448 is 41880384.
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 234 x 658 x 442 x 448 = 16646950075392
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
658 : 1, 2, 7, 14, 47, 94, 329, 658
442 : 1, 2, 13, 17, 26, 34, 221, 442
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,234,658,442,448, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
234:2x 3x 3x 13
658:2x 7x 47
442:2x 13x 17
448:2x 2x 2x 2x 2x 2x 7
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 3x 7x 7x 13x 13 = 198744
Therefore, the value for common factors is 198744.
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 = 16646950075392/(2x198744)
LCM = 16646950075392/397488
LCM = 41880384
Thus, we can understand that the LCM of 546,234,658,442,448 is 41880384.
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FAQs on LCM of 546, 234, 658, 442, 448
1. What is the LCM of 546, 234, 658, 442, 448?
Answer: LCM of 546, 234, 658, 442, 448 is 41880384.
2. How to calculate the LCM of 546, 234, 658, 442, 448?
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, 234, 658, 442, 448.
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}.