LCM of 676, 767, 356, 106, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 767, 356, 106, 795 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, 767, 356, 106, 795. So, keep reading to learn more.
Given numbers are 676,767,356,106,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,767,356,106,795 is 2821992420.
Find LCM of 676,767,356,106,795 with Prime Factorization
| 2 | 676, 767, 356, 106, 795 |
| 2 | 338, 767, 178, 53, 795 |
| 13 | 169, 767, 89, 53, 795 |
| 53 | 13, 59, 89, 53, 795 |
| 13, 59, 89, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 13 x 59 x 89 x 1 x 15 = 2821992420
Therefore, the lowest common multiple of 676,767,356,106,795 is 2821992420.
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 767 x 356 x 106 x 795 = 15554822219040
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
767 : 1, 13, 59, 767
356 : 1, 2, 4, 89, 178, 356
106 : 1, 2, 53, 106
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,767,356,106,795, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
767:13x 59
356:2x 2x 89
106:2x 53
795:3x 5x 53
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 53 = 5512
Therefore, the value for common factors is 5512.
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 = 15554822219040/(1x5512)
LCM = 15554822219040/5512
LCM = 2821992420
Thus, we can understand that the LCM of 676,767,356,106,795 is 2821992420.
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FAQs on LCM of 676, 767, 356, 106, 795
1. What is the LCM of 676, 767, 356, 106, 795?
Answer: LCM of 676, 767, 356, 106, 795 is 2821992420.
2. How to calculate the LCM of 676, 767, 356, 106, 795?
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, 767, 356, 106, 795.
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}.