LCM of 678, 981, 538, 562, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 981, 538, 562, 407 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 678, 981, 538, 562, 407. So, keep reading to learn more.
Given numbers are 678,981,538,562,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,981,538,562,407 is 6820723677438.
Find LCM of 678,981,538,562,407 with Prime Factorization
| 2 | 678, 981, 538, 562, 407 |
| 3 | 339, 981, 269, 281, 407 |
| 113, 327, 269, 281, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 327 x 269 x 281 x 407 = 6820723677438
Therefore, the lowest common multiple of 678,981,538,562,407 is 6820723677438.
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.
678 x 981 x 538 x 562 x 407 = 81848684129256
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
981 : 1, 3, 9, 109, 327, 981
538 : 1, 2, 269, 538
562 : 1, 2, 281, 562
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,981,538,562,407, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
981:3x 3x 109
538:2x 269
562:2x 281
407:11x 37
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 3 = 12
Therefore, the value for common factors is 12.
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 = 81848684129256/(1x12)
LCM = 81848684129256/12
LCM = 6820723677438
Thus, we can understand that the LCM of 678,981,538,562,407 is 6820723677438.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 981, 538, 562, 407
1. What is the LCM of 678, 981, 538, 562, 407?
Answer: LCM of 678, 981, 538, 562, 407 is 6820723677438.
2. How to calculate the LCM of 678, 981, 538, 562, 407?
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 678, 981, 538, 562, 407.
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}.