LCM of 168, 274, 676, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 274, 676, 377 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 168, 274, 676, 377. So, keep reading to learn more.
Given numbers are 168,274,676,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,274,676,377 is 112801416.
Find LCM of 168,274,676,377 with Prime Factorization
| 2 | 168, 274, 676, 377 |
| 2 | 84, 137, 338, 377 |
| 13 | 42, 137, 169, 377 |
| 42, 137, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 42 x 137 x 13 x 29 = 112801416
Therefore, the lowest common multiple of 168,274,676,377 is 112801416.
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.
168 x 274 x 676 x 377 = 11731347264
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
274 : 1, 2, 137, 274
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,274,676,377, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
274:2x 137
676:2x 2x 13x 13
377:13x 29
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 = 11731347264/(1x104)
LCM = 11731347264/104
LCM = 112801416
Thus, we can understand that the LCM of 168,274,676,377 is 112801416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 168, 274, 676, 377
1. What is the LCM of 168, 274, 676, 377?
Answer: LCM of 168, 274, 676, 377 is 112801416.
2. How to calculate the LCM of 168, 274, 676, 377?
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 168, 274, 676, 377.
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}.