LCM of 508, 264, 649, 906, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 264, 649, 906, 538 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 508, 264, 649, 906, 538. So, keep reading to learn more.
Given numbers are 508,264,649,906,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,264,649,906,538 is 80350556088.
Find LCM of 508,264,649,906,538 with Prime Factorization
| 2 | 508, 264, 649, 906, 538 |
| 2 | 254, 132, 649, 453, 269 |
| 3 | 127, 66, 649, 453, 269 |
| 11 | 127, 22, 649, 151, 269 |
| 127, 2, 59, 151, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 127 x 2 x 59 x 151 x 269 = 80350556088
Therefore, the lowest common multiple of 508,264,649,906,538 is 80350556088.
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.
508 x 264 x 649 x 906 x 538 = 42425093614464
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.
508 : 1, 2, 4, 127, 254, 508
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
649 : 1, 11, 59, 649
906 : 1, 2, 3, 6, 151, 302, 453, 906
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,264,649,906,538, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
264:2x 2x 2x 3x 11
649:11x 59
906:2x 3x 151
538:2x 269
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 42425093614464/(1x528)
LCM = 42425093614464/528
LCM = 80350556088
Thus, we can understand that the LCM of 508,264,649,906,538 is 80350556088.
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FAQs on LCM of 508, 264, 649, 906, 538
1. What is the LCM of 508, 264, 649, 906, 538?
Answer: LCM of 508, 264, 649, 906, 538 is 80350556088.
2. How to calculate the LCM of 508, 264, 649, 906, 538?
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 508, 264, 649, 906, 538.
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}.