LCM of 254, 286, 737, 748, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 286, 737, 748, 806 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 254, 286, 737, 748, 806. So, keep reading to learn more.
Given numbers are 254,286,737,748,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,286,737,748,806 is 2564986996.
Find LCM of 254,286,737,748,806 with Prime Factorization
| 2 | 254, 286, 737, 748, 806 |
| 11 | 127, 143, 737, 374, 403 |
| 13 | 127, 13, 67, 34, 403 |
| 127, 1, 67, 34, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 127 x 1 x 67 x 34 x 31 = 2564986996
Therefore, the lowest common multiple of 254,286,737,748,806 is 2564986996.
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.
254 x 286 x 737 x 748 x 806 = 32277796357664
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.
254 : 1, 2, 127, 254
286 : 1, 2, 11, 13, 22, 26, 143, 286
737 : 1, 11, 67, 737
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,286,737,748,806, is 1.
Now, the common factors can be found like this.
254:2x 127
286:2x 11x 13
737:11x 67
748:2x 2x 11x 17
806:2x 13x 31
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 11x 11x 13 = 12584
Therefore, the value for common factors is 12584.
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 = 32277796357664/(1x12584)
LCM = 32277796357664/12584
LCM = 2564986996
Thus, we can understand that the LCM of 254,286,737,748,806 is 2564986996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 286, 737, 748, 806
1. What is the LCM of 254, 286, 737, 748, 806?
Answer: LCM of 254, 286, 737, 748, 806 is 2564986996.
2. How to calculate the LCM of 254, 286, 737, 748, 806?
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 254, 286, 737, 748, 806.
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}.