LCM of 297, 892, 266, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 892, 266, 228 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 297, 892, 266, 228. So, keep reading to learn more.
Given numbers are 297,892,266,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,892,266,228 is 35234892.
Find LCM of 297,892,266,228 with Prime Factorization
| 2 | 297, 892, 266, 228 |
| 2 | 297, 446, 133, 114 |
| 3 | 297, 223, 133, 57 |
| 19 | 99, 223, 133, 19 |
| 99, 223, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 99 x 223 x 7 x 1 = 35234892
Therefore, the lowest common multiple of 297,892,266,228 is 35234892.
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.
297 x 892 x 266 x 228 = 16067110752
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
892 : 1, 2, 4, 223, 446, 892
266 : 1, 2, 7, 14, 19, 38, 133, 266
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,892,266,228, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
892:2x 2x 223
266:2x 7x 19
228:2x 2x 3x 19
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 19 = 456
Therefore, the value for common factors is 456.
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 = 16067110752/(1x456)
LCM = 16067110752/456
LCM = 35234892
Thus, we can understand that the LCM of 297,892,266,228 is 35234892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 892, 266, 228
1. What is the LCM of 297, 892, 266, 228?
Answer: LCM of 297, 892, 266, 228 is 35234892.
2. How to calculate the LCM of 297, 892, 266, 228?
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 297, 892, 266, 228.
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}.