LCM of 676, 759, 920, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 759, 920, 460 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 676, 759, 920, 460. So, keep reading to learn more.
Given numbers are 676,759,920,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,759,920,460 is 5130840.
Find LCM of 676,759,920,460 with Prime Factorization
| 2 | 676, 759, 920, 460 |
| 2 | 338, 759, 460, 230 |
| 5 | 169, 759, 115, 230 |
| 23 | 169, 759, 23, 46 |
| 169, 33, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 169 x 33 x 1 x 2 = 5130840
Therefore, the lowest common multiple of 676,759,920,460 is 5130840.
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.
676 x 759 x 920 x 460 = 217137148800
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
759 : 1, 3, 11, 23, 33, 69, 253, 759
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,759,920,460, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
759:3x 11x 23
920:2x 2x 2x 5x 23
460:2x 2x 5x 23
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 5x 23x 23 = 42320
Therefore, the value for common factors is 42320.
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 = 217137148800/(1x42320)
LCM = 217137148800/42320
LCM = 5130840
Thus, we can understand that the LCM of 676,759,920,460 is 5130840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 759, 920, 460
1. What is the LCM of 676, 759, 920, 460?
Answer: LCM of 676, 759, 920, 460 is 5130840.
2. How to calculate the LCM of 676, 759, 920, 460?
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 676, 759, 920, 460.
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}.