LCM of 628, 368, 854, 828, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 368, 854, 828, 274 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 628, 368, 854, 828, 274. So, keep reading to learn more.
Given numbers are 628,368,854,828,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,368,854,828,274 is 30418544016.
Find LCM of 628,368,854,828,274 with Prime Factorization
| 2 | 628, 368, 854, 828, 274 |
| 2 | 314, 184, 427, 414, 137 |
| 23 | 157, 92, 427, 207, 137 |
| 157, 4, 427, 9, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 157 x 4 x 427 x 9 x 137 = 30418544016
Therefore, the lowest common multiple of 628,368,854,828,274 is 30418544016.
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.
628 x 368 x 854 x 828 x 274 = 44776096791552
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.
628 : 1, 2, 4, 157, 314, 628
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
854 : 1, 2, 7, 14, 61, 122, 427, 854
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
274 : 1, 2, 137, 274
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,368,854,828,274, is 2.
Now, the common factors can be found like this.
628:2x 2x 157
368:2x 2x 2x 2x 23
854:2x 7x 61
828:2x 2x 3x 3x 23
274:2x 137
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 23 = 736
Therefore, the value for common factors is 736.
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 = 44776096791552/(2x736)
LCM = 44776096791552/1472
LCM = 30418544016
Thus, we can understand that the LCM of 628,368,854,828,274 is 30418544016.
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FAQs on LCM of 628, 368, 854, 828, 274
1. What is the LCM of 628, 368, 854, 828, 274?
Answer: LCM of 628, 368, 854, 828, 274 is 30418544016.
2. How to calculate the LCM of 628, 368, 854, 828, 274?
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 628, 368, 854, 828, 274.
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}.