LCM of 906, 306, 462, 756, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 306, 462, 756, 254 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 906, 306, 462, 756, 254. So, keep reading to learn more.
Given numbers are 906,306,462,756,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,306,462,756,254 is 2711090844.
Find LCM of 906,306,462,756,254 with Prime Factorization
| 2 | 906, 306, 462, 756, 254 |
| 3 | 453, 153, 231, 378, 127 |
| 3 | 151, 51, 77, 126, 127 |
| 7 | 151, 17, 77, 42, 127 |
| 151, 17, 11, 6, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 151 x 17 x 11 x 6 x 127 = 2711090844
Therefore, the lowest common multiple of 906,306,462,756,254 is 2711090844.
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.
906 x 306 x 462 x 756 x 254 = 24595016136768
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
254 : 1, 2, 127, 254
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,306,462,756,254, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
306:2x 3x 3x 17
462:2x 3x 7x 11
756:2x 2x 3x 3x 3x 7
254:2x 127
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 7 = 4536
Therefore, the value for common factors is 4536.
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 = 24595016136768/(2x4536)
LCM = 24595016136768/9072
LCM = 2711090844
Thus, we can understand that the LCM of 906,306,462,756,254 is 2711090844.
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FAQs on LCM of 906, 306, 462, 756, 254
1. What is the LCM of 906, 306, 462, 756, 254?
Answer: LCM of 906, 306, 462, 756, 254 is 2711090844.
2. How to calculate the LCM of 906, 306, 462, 756, 254?
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 906, 306, 462, 756, 254.
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}.