LCM of 974, 904, 638, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 904, 638, 678 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 974, 904, 638, 678. So, keep reading to learn more.
Given numbers are 974,904,638,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,904,638,678 is 421317336.
Find LCM of 974,904,638,678 with Prime Factorization
| 2 | 974, 904, 638, 678 |
| 113 | 487, 452, 319, 339 |
| 487, 4, 319, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 487 x 4 x 319 x 3 = 421317336
Therefore, the lowest common multiple of 974,904,638,678 is 421317336.
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.
974 x 904 x 638 x 678 = 380870871744
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.
974 : 1, 2, 487, 974
904 : 1, 2, 4, 8, 113, 226, 452, 904
638 : 1, 2, 11, 22, 29, 58, 319, 638
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,904,638,678, is 2.
Now, the common factors can be found like this.
974:2x 487
904:2x 2x 2x 113
638:2x 11x 29
678:2x 3x 113
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 113 = 452
Therefore, the value for common factors is 452.
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 = 380870871744/(2x452)
LCM = 380870871744/904
LCM = 421317336
Thus, we can understand that the LCM of 974,904,638,678 is 421317336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 974, 904, 638, 678
1. What is the LCM of 974, 904, 638, 678?
Answer: LCM of 974, 904, 638, 678 is 421317336.
2. How to calculate the LCM of 974, 904, 638, 678?
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 974, 904, 638, 678.
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}.