LCM of 794, 676, 572, 422, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 676, 572, 422, 368 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 794, 676, 572, 422, 368. So, keep reading to learn more.
Given numbers are 794,676,572,422,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,676,572,422,368 is 57306009904.
Find LCM of 794,676,572,422,368 with Prime Factorization
| 2 | 794, 676, 572, 422, 368 |
| 2 | 397, 338, 286, 211, 184 |
| 13 | 397, 169, 143, 211, 92 |
| 397, 13, 11, 211, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 397 x 13 x 11 x 211 x 92 = 57306009904
Therefore, the lowest common multiple of 794,676,572,422,368 is 57306009904.
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.
794 x 676 x 572 x 422 x 368 = 47678600240128
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.
794 : 1, 2, 397, 794
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
422 : 1, 2, 211, 422
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,676,572,422,368, is 2.
Now, the common factors can be found like this.
794:2x 397
676:2x 2x 13x 13
572:2x 2x 11x 13
422:2x 211
368:2x 2x 2x 2x 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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 47678600240128/(2x416)
LCM = 47678600240128/832
LCM = 57306009904
Thus, we can understand that the LCM of 794,676,572,422,368 is 57306009904.
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FAQs on LCM of 794, 676, 572, 422, 368
1. What is the LCM of 794, 676, 572, 422, 368?
Answer: LCM of 794, 676, 572, 422, 368 is 57306009904.
2. How to calculate the LCM of 794, 676, 572, 422, 368?
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 794, 676, 572, 422, 368.
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}.