LCM of 678, 656, 748, 496, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 656, 748, 496, 993 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, 656, 748, 496, 993. So, keep reading to learn more.
Given numbers are 678,656,748,496,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,656,748,496,993 is 426711975888.
Find LCM of 678,656,748,496,993 with Prime Factorization
| 2 | 678, 656, 748, 496, 993 |
| 2 | 339, 328, 374, 248, 993 |
| 2 | 339, 164, 187, 124, 993 |
| 2 | 339, 82, 187, 62, 993 |
| 3 | 339, 41, 187, 31, 993 |
| 113, 41, 187, 31, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 113 x 41 x 187 x 31 x 331 = 426711975888
Therefore, the lowest common multiple of 678,656,748,496,993 is 426711975888.
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 656 x 748 x 496 x 993 = 163857398740992
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
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,656,748,496,993, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
656:2x 2x 2x 2x 41
748:2x 2x 11x 17
496:2x 2x 2x 2x 31
993:3x 331
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 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 163857398740992/(1x384)
LCM = 163857398740992/384
LCM = 426711975888
Thus, we can understand that the LCM of 678,656,748,496,993 is 426711975888.
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FAQs on LCM of 678, 656, 748, 496, 993
1. What is the LCM of 678, 656, 748, 496, 993?
Answer: LCM of 678, 656, 748, 496, 993 is 426711975888.
2. How to calculate the LCM of 678, 656, 748, 496, 993?
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, 656, 748, 496, 993.
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}.