LCM of 659, 214, 642, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 214, 642, 627 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 659, 214, 642, 627. So, keep reading to learn more.
Given numbers are 659,214,642,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,214,642,627 is 88423302.
Find LCM of 659,214,642,627 with Prime Factorization
| 2 | 659, 214, 642, 627 |
| 3 | 659, 107, 321, 627 |
| 107 | 659, 107, 107, 209 |
| 659, 1, 1, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 659 x 1 x 1 x 209 = 88423302
Therefore, the lowest common multiple of 659,214,642,627 is 88423302.
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.
659 x 214 x 642 x 627 = 56767759884
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.
659 : 1, 659
214 : 1, 2, 107, 214
642 : 1, 2, 3, 6, 107, 214, 321, 642
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,214,642,627, is 1.
Now, the common factors can be found like this.
659:659
214:2x 107
642:2x 3x 107
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 107 = 642
Therefore, the value for common factors is 642.
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 = 56767759884/(1x642)
LCM = 56767759884/642
LCM = 88423302
Thus, we can understand that the LCM of 659,214,642,627 is 88423302.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 659, 214, 642, 627
1. What is the LCM of 659, 214, 642, 627?
Answer: LCM of 659, 214, 642, 627 is 88423302.
2. How to calculate the LCM of 659, 214, 642, 627?
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 659, 214, 642, 627.
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}.