LCM of 257, 744, 546, 322, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 744, 546, 322, 409 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 257, 744, 546, 322, 409. So, keep reading to learn more.
Given numbers are 257,744,546,322,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,744,546,322,409 is 163681122696.
Find LCM of 257,744,546,322,409 with Prime Factorization
| 2 | 257, 744, 546, 322, 409 |
| 3 | 257, 372, 273, 161, 409 |
| 7 | 257, 124, 91, 161, 409 |
| 257, 124, 13, 23, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 257 x 124 x 13 x 23 x 409 = 163681122696
Therefore, the lowest common multiple of 257,744,546,322,409 is 163681122696.
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.
257 x 744 x 546 x 322 x 409 = 13749214306464
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.
257 : 1, 257
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
322 : 1, 2, 7, 14, 23, 46, 161, 322
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,744,546,322,409, is 1.
Now, the common factors can be found like this.
257:257
744:2x 2x 2x 3x 31
546:2x 3x 7x 13
322:2x 7x 23
409:409
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 13749214306464/(1x84)
LCM = 13749214306464/84
LCM = 163681122696
Thus, we can understand that the LCM of 257,744,546,322,409 is 163681122696.
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FAQs on LCM of 257, 744, 546, 322, 409
1. What is the LCM of 257, 744, 546, 322, 409?
Answer: LCM of 257, 744, 546, 322, 409 is 163681122696.
2. How to calculate the LCM of 257, 744, 546, 322, 409?
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 257, 744, 546, 322, 409.
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}.