LCM of 583, 857, 690, 605, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 857, 690, 605, 700 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 583, 857, 690, 605, 700. So, keep reading to learn more.
Given numbers are 583,857,690,605,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,857,690,605,700 is 265453950300.
Find LCM of 583,857,690,605,700 with Prime Factorization
| 2 | 583, 857, 690, 605, 700 |
| 5 | 583, 857, 345, 605, 350 |
| 11 | 583, 857, 69, 121, 70 |
| 53, 857, 69, 11, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 53 x 857 x 69 x 11 x 70 = 265453950300
Therefore, the lowest common multiple of 583,857,690,605,700 is 265453950300.
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.
583 x 857 x 690 x 605 x 700 = 145999672665000
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.
583 : 1, 11, 53, 583
857 : 1, 857
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
605 : 1, 5, 11, 55, 121, 605
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,857,690,605,700, is 1.
Now, the common factors can be found like this.
583:11x 53
857:857
690:2x 3x 5x 23
605:5x 11x 11
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11 = 550
Therefore, the value for common factors is 550.
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 = 145999672665000/(1x550)
LCM = 145999672665000/550
LCM = 265453950300
Thus, we can understand that the LCM of 583,857,690,605,700 is 265453950300.
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FAQs on LCM of 583, 857, 690, 605, 700
1. What is the LCM of 583, 857, 690, 605, 700?
Answer: LCM of 583, 857, 690, 605, 700 is 265453950300.
2. How to calculate the LCM of 583, 857, 690, 605, 700?
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 583, 857, 690, 605, 700.
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}.