LCM of 671, 682, 616, 992, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 682, 616, 992, 788 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 671, 682, 616, 992, 788. So, keep reading to learn more.
Given numbers are 671,682,616,992,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,682,616,992,788 is 917906528.
Find LCM of 671,682,616,992,788 with Prime Factorization
| 2 | 671, 682, 616, 992, 788 |
| 2 | 671, 341, 308, 496, 394 |
| 2 | 671, 341, 154, 248, 197 |
| 11 | 671, 341, 77, 124, 197 |
| 31 | 61, 31, 7, 124, 197 |
| 61, 1, 7, 4, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 31 x 61 x 1 x 7 x 4 x 197 = 917906528
Therefore, the lowest common multiple of 671,682,616,992,788 is 917906528.
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.
671 x 682 x 616 x 992 x 788 = 220356312737792
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.
671 : 1, 11, 61, 671
682 : 1, 2, 11, 22, 31, 62, 341, 682
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,682,616,992,788, is 1.
Now, the common factors can be found like this.
671:11x 61
682:2x 11x 31
616:2x 2x 2x 7x 11
992:2x 2x 2x 2x 2x 31
788:2x 2x 197
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 11x 11x 31 = 240064
Therefore, the value for common factors is 240064.
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 = 220356312737792/(1x240064)
LCM = 220356312737792/240064
LCM = 917906528
Thus, we can understand that the LCM of 671,682,616,992,788 is 917906528.
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FAQs on LCM of 671, 682, 616, 992, 788
1. What is the LCM of 671, 682, 616, 992, 788?
Answer: LCM of 671, 682, 616, 992, 788 is 917906528.
2. How to calculate the LCM of 671, 682, 616, 992, 788?
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 671, 682, 616, 992, 788.
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}.