Find the LCM of 676, 312, 662, 631, 887 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, 312, 662, 631, 887. So, keep reading to learn more.
Given numbers are 676,312,662,631,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,312,662,631,887 is 751413371592.
Find LCM of 676,312,662,631,887 with Prime Factorization
2 | 676, 312, 662, 631, 887 |
2 | 338, 156, 331, 631, 887 |
13 | 169, 78, 331, 631, 887 |
13, 6, 331, 631, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 6 x 331 x 631 x 887 = 751413371592
Therefore, the lowest common multiple of 676,312,662,631,887 is 751413371592.
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 312 x 662 x 631 x 887 = 78146990645568
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
662 : 1, 2, 331, 662
631 : 1, 631
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,312,662,631,887, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
312:2x 2x 2x 3x 13
662:2x 331
631:631
887:887
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 13 = 104
Therefore, the value for common factors is 104.
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 = 78146990645568/(1x104)
LCM = 78146990645568/104
LCM = 751413371592
Thus, we can understand that the LCM of 676,312,662,631,887 is 751413371592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 312, 662, 631, 887?
Answer: LCM of 676, 312, 662, 631, 887 is 751413371592.
2. How to calculate the LCM of 676, 312, 662, 631, 887?
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, 312, 662, 631, 887.
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}.