LCM of 124, 342, 149, 548, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 342, 149, 548, 418 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 124, 342, 149, 548, 418. So, keep reading to learn more.
Given numbers are 124,342,149,548,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,342,149,548,418 is 4761209772.
Find LCM of 124,342,149,548,418 with Prime Factorization
| 2 | 124, 342, 149, 548, 418 |
| 2 | 62, 171, 149, 274, 209 |
| 19 | 31, 171, 149, 137, 209 |
| 31, 9, 149, 137, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 31 x 9 x 149 x 137 x 11 = 4761209772
Therefore, the lowest common multiple of 124,342,149,548,418 is 4761209772.
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.
124 x 342 x 149 x 548 x 418 = 1447407770688
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.
124 : 1, 2, 4, 31, 62, 124
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
149 : 1, 149
548 : 1, 2, 4, 137, 274, 548
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,342,149,548,418, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
342:2x 3x 3x 19
149:149
548:2x 2x 137
418:2x 11x 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 2x 2x 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 1447407770688/(1x304)
LCM = 1447407770688/304
LCM = 4761209772
Thus, we can understand that the LCM of 124,342,149,548,418 is 4761209772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 124, 342, 149, 548, 418
1. What is the LCM of 124, 342, 149, 548, 418?
Answer: LCM of 124, 342, 149, 548, 418 is 4761209772.
2. How to calculate the LCM of 124, 342, 149, 548, 418?
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 124, 342, 149, 548, 418.
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}.