LCM of 907, 722, 494, 676, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 722, 494, 676, 506 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 907, 722, 494, 676, 506. So, keep reading to learn more.
Given numbers are 907,722,494,676,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,722,494,676,506 is 55999184956.
Find LCM of 907,722,494,676,506 with Prime Factorization
| 2 | 907, 722, 494, 676, 506 |
| 13 | 907, 361, 247, 338, 253 |
| 19 | 907, 361, 19, 26, 253 |
| 907, 1, 19, 26, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 907 x 1 x 19 x 26 x 253 = 55999184956
Therefore, the lowest common multiple of 907,722,494,676,506 is 55999184956.
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.
907 x 722 x 494 x 676 x 506 = 110654389473056
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.
907 : 1, 907
722 : 1, 2, 19, 38, 361, 722
494 : 1, 2, 13, 19, 26, 38, 247, 494
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,722,494,676,506, is 1.
Now, the common factors can be found like this.
907:907
722:2x 19x 19
494:2x 13x 19
676:2x 2x 13x 13
506:2x 11x 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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 110654389473056/(1x1976)
LCM = 110654389473056/1976
LCM = 55999184956
Thus, we can understand that the LCM of 907,722,494,676,506 is 55999184956.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 907, 722, 494, 676, 506
1. What is the LCM of 907, 722, 494, 676, 506?
Answer: LCM of 907, 722, 494, 676, 506 is 55999184956.
2. How to calculate the LCM of 907, 722, 494, 676, 506?
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 907, 722, 494, 676, 506.
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}.