LCM of 591, 168, 842, 676, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 168, 842, 676, 714 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 591, 168, 842, 676, 714. So, keep reading to learn more.
Given numbers are 591,168,842,676,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,168,842,676,714 is 40030704168.
Find LCM of 591,168,842,676,714 with Prime Factorization
| 2 | 591, 168, 842, 676, 714 |
| 2 | 591, 84, 421, 338, 357 |
| 3 | 591, 42, 421, 169, 357 |
| 7 | 197, 14, 421, 169, 119 |
| 197, 2, 421, 169, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 197 x 2 x 421 x 169 x 17 = 40030704168
Therefore, the lowest common multiple of 591,168,842,676,714 is 40030704168.
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.
591 x 168 x 842 x 676 x 714 = 40350949801344
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.
591 : 1, 3, 197, 591
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
842 : 1, 2, 421, 842
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,168,842,676,714, is 1.
Now, the common factors can be found like this.
591:3x 197
168:2x 2x 2x 3x 7
842:2x 421
676:2x 2x 13x 13
714:2x 3x 7x 17
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 40350949801344/(1x1008)
LCM = 40350949801344/1008
LCM = 40030704168
Thus, we can understand that the LCM of 591,168,842,676,714 is 40030704168.
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FAQs on LCM of 591, 168, 842, 676, 714
1. What is the LCM of 591, 168, 842, 676, 714?
Answer: LCM of 591, 168, 842, 676, 714 is 40030704168.
2. How to calculate the LCM of 591, 168, 842, 676, 714?
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 591, 168, 842, 676, 714.
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}.