LCM of 916, 676, 818, 792, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 676, 818, 792, 251 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 916, 676, 818, 792, 251. So, keep reading to learn more.
Given numbers are 916,676,818,792,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,676,818,792,251 is 3146620719528.
Find LCM of 916,676,818,792,251 with Prime Factorization
| 2 | 916, 676, 818, 792, 251 |
| 2 | 458, 338, 409, 396, 251 |
| 229, 169, 409, 198, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 229 x 169 x 409 x 198 x 251 = 3146620719528
Therefore, the lowest common multiple of 916,676,818,792,251 is 3146620719528.
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.
916 x 676 x 818 x 792 x 251 = 100691863024896
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.
916 : 1, 2, 4, 229, 458, 916
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
818 : 1, 2, 409, 818
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,676,818,792,251, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
676:2x 2x 13x 13
818:2x 409
792:2x 2x 2x 3x 3x 11
251:251
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 2 = 32
Therefore, the value for common factors is 32.
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 = 100691863024896/(1x32)
LCM = 100691863024896/32
LCM = 3146620719528
Thus, we can understand that the LCM of 916,676,818,792,251 is 3146620719528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 916, 676, 818, 792, 251
1. What is the LCM of 916, 676, 818, 792, 251?
Answer: LCM of 916, 676, 818, 792, 251 is 3146620719528.
2. How to calculate the LCM of 916, 676, 818, 792, 251?
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 916, 676, 818, 792, 251.
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}.