LCM of 212, 422, 759, 460, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 422, 759, 460, 677 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 212, 422, 759, 460, 677. So, keep reading to learn more.
Given numbers are 212,422,759,460,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,422,759,460,677 is 114926125380.
Find LCM of 212,422,759,460,677 with Prime Factorization
| 2 | 212, 422, 759, 460, 677 |
| 2 | 106, 211, 759, 230, 677 |
| 23 | 53, 211, 759, 115, 677 |
| 53, 211, 33, 5, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 53 x 211 x 33 x 5 x 677 = 114926125380
Therefore, the lowest common multiple of 212,422,759,460,677 is 114926125380.
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.
212 x 422 x 759 x 460 x 677 = 21146407069920
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.
212 : 1, 2, 4, 53, 106, 212
422 : 1, 2, 211, 422
759 : 1, 3, 11, 23, 33, 69, 253, 759
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,422,759,460,677, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
422:2x 211
759:3x 11x 23
460:2x 2x 5x 23
677:677
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 23 = 184
Therefore, the value for common factors is 184.
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 = 21146407069920/(1x184)
LCM = 21146407069920/184
LCM = 114926125380
Thus, we can understand that the LCM of 212,422,759,460,677 is 114926125380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 422, 759, 460, 677
1. What is the LCM of 212, 422, 759, 460, 677?
Answer: LCM of 212, 422, 759, 460, 677 is 114926125380.
2. How to calculate the LCM of 212, 422, 759, 460, 677?
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 212, 422, 759, 460, 677.
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}.