LCM of 456, 297, 338, 148, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 297, 338, 148, 891 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 456, 297, 338, 148, 891. So, keep reading to learn more.
Given numbers are 456,297,338,148,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,297,338,148,891 is 846856296.
Find LCM of 456,297,338,148,891 with Prime Factorization
| 2 | 456, 297, 338, 148, 891 |
| 2 | 228, 297, 169, 74, 891 |
| 3 | 114, 297, 169, 37, 891 |
| 3 | 38, 99, 169, 37, 297 |
| 3 | 38, 33, 169, 37, 99 |
| 11 | 38, 11, 169, 37, 33 |
| 38, 1, 169, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 11 x 38 x 1 x 169 x 37 x 3 = 846856296
Therefore, the lowest common multiple of 456,297,338,148,891 is 846856296.
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.
456 x 297 x 338 x 148 x 891 = 6036391677888
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
297 : 1, 3, 9, 11, 27, 33, 99, 297
338 : 1, 2, 13, 26, 169, 338
148 : 1, 2, 4, 37, 74, 148
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,297,338,148,891, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
297:3x 3x 3x 11
338:2x 13x 13
148:2x 2x 37
891:3x 3x 3x 3x 11
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 3x 3x 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 6036391677888/(1x7128)
LCM = 6036391677888/7128
LCM = 846856296
Thus, we can understand that the LCM of 456,297,338,148,891 is 846856296.
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FAQs on LCM of 456, 297, 338, 148, 891
1. What is the LCM of 456, 297, 338, 148, 891?
Answer: LCM of 456, 297, 338, 148, 891 is 846856296.
2. How to calculate the LCM of 456, 297, 338, 148, 891?
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 456, 297, 338, 148, 891.
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}.