LCM of 558, 714, 736, 756, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 714, 736, 756, 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 558, 714, 736, 756, 857. So, keep reading to learn more.
Given numbers are 558,714,736,756,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,714,736,756,857 is 62824791456.
Find LCM of 558,714,736,756,857 with Prime Factorization
| 2 | 558, 714, 736, 756, 857 |
| 2 | 279, 357, 368, 378, 857 |
| 3 | 279, 357, 184, 189, 857 |
| 3 | 93, 119, 184, 63, 857 |
| 7 | 31, 119, 184, 21, 857 |
| 31, 17, 184, 3, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 31 x 17 x 184 x 3 x 857 = 62824791456
Therefore, the lowest common multiple of 558,714,736,756,857 is 62824791456.
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.
558 x 714 x 736 x 756 x 857 = 189982169362944
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,714,736,756,857, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
714:2x 3x 7x 17
736:2x 2x 2x 2x 2x 23
756:2x 2x 3x 3x 3x 7
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.
2x 2x 2x 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 189982169362944/(1x3024)
LCM = 189982169362944/3024
LCM = 62824791456
Thus, we can understand that the LCM of 558,714,736,756,857 is 62824791456.
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FAQs on LCM of 558, 714, 736, 756, 857
1. What is the LCM of 558, 714, 736, 756, 857?
Answer: LCM of 558, 714, 736, 756, 857 is 62824791456.
2. How to calculate the LCM of 558, 714, 736, 756, 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 558, 714, 736, 756, 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}.