LCM of 671, 744, 464, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 744, 464, 682 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, 744, 464, 682. So, keep reading to learn more.
Given numbers are 671,744,464,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,744,464,682 is 28954992.
Find LCM of 671,744,464,682 with Prime Factorization
| 2 | 671, 744, 464, 682 |
| 2 | 671, 372, 232, 341 |
| 2 | 671, 186, 116, 341 |
| 11 | 671, 93, 58, 341 |
| 31 | 61, 93, 58, 31 |
| 61, 3, 58, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 31 x 61 x 3 x 58 x 1 = 28954992
Therefore, the lowest common multiple of 671,744,464,682 is 28954992.
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 744 x 464 x 682 = 157978436352
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
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,744,464,682, is 1.
Now, the common factors can be found like this.
671:11x 61
744:2x 2x 2x 3x 31
464:2x 2x 2x 2x 29
682:2x 11x 31
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 11x 31 = 5456
Therefore, the value for common factors is 5456.
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 = 157978436352/(1x5456)
LCM = 157978436352/5456
LCM = 28954992
Thus, we can understand that the LCM of 671,744,464,682 is 28954992.
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FAQs on LCM of 671, 744, 464, 682
1. What is the LCM of 671, 744, 464, 682?
Answer: LCM of 671, 744, 464, 682 is 28954992.
2. How to calculate the LCM of 671, 744, 464, 682?
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, 744, 464, 682.
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}.