LCM of 655, 583, 689, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 583, 689, 655 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 655, 583, 689, 655. So, keep reading to learn more.
Given numbers are 655,583,689,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,583,689,655 is 4964245.
Find LCM of 655,583,689,655 with Prime Factorization
| 5 | 655, 583, 689, 655 |
| 53 | 131, 583, 689, 131 |
| 131 | 131, 11, 13, 131 |
| 1, 11, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 53 x 131 x 1 x 11 x 13 x 1 = 4964245
Therefore, the lowest common multiple of 655,583,689,655 is 4964245.
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.
655 x 583 x 689 x 655 = 172333765175
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.
655 : 1, 5, 131, 655
583 : 1, 11, 53, 583
689 : 1, 13, 53, 689
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,583,689,655, is 1.
Now, the common factors can be found like this.
655:5x 131
583:11x 53
689:13x 53
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 53x 131 = 34715
Therefore, the value for common factors is 34715.
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 = 172333765175/(1x34715)
LCM = 172333765175/34715
LCM = 4964245
Thus, we can understand that the LCM of 655,583,689,655 is 4964245.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 583, 689, 655
1. What is the LCM of 655, 583, 689, 655?
Answer: LCM of 655, 583, 689, 655 is 4964245.
2. How to calculate the LCM of 655, 583, 689, 655?
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 655, 583, 689, 655.
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}.