LCM of 714, 449, 271, 273, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 449, 271, 273, 857 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 714, 449, 271, 273, 857. So, keep reading to learn more.
Given numbers are 714,449,271,273,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,449,271,273,857 is 967916777646.
Find LCM of 714,449,271,273,857 with Prime Factorization
| 3 | 714, 449, 271, 273, 857 |
| 7 | 238, 449, 271, 91, 857 |
| 34, 449, 271, 13, 857 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 34 x 449 x 271 x 13 x 857 = 967916777646
Therefore, the lowest common multiple of 714,449,271,273,857 is 967916777646.
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.
714 x 449 x 271 x 273 x 857 = 20326252330566
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
449 : 1, 449
271 : 1, 271
273 : 1, 3, 7, 13, 21, 39, 91, 273
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,449,271,273,857, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
449:449
271:271
273:3x 7x 13
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 20326252330566/(1x21)
LCM = 20326252330566/21
LCM = 967916777646
Thus, we can understand that the LCM of 714,449,271,273,857 is 967916777646.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 714, 449, 271, 273, 857
1. What is the LCM of 714, 449, 271, 273, 857?
Answer: LCM of 714, 449, 271, 273, 857 is 967916777646.
2. How to calculate the LCM of 714, 449, 271, 273, 857?
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 714, 449, 271, 273, 857.
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}.