LCM of 606, 988, 507, 533, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 988, 507, 533, 208 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 606, 988, 507, 533, 208. So, keep reading to learn more.
Given numbers are 606,988,507,533,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,988,507,533,208 is 638244048.
Find LCM of 606,988,507,533,208 with Prime Factorization
| 2 | 606, 988, 507, 533, 208 |
| 2 | 303, 494, 507, 533, 104 |
| 3 | 303, 247, 507, 533, 52 |
| 13 | 101, 247, 169, 533, 52 |
| 101, 19, 13, 41, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 101 x 19 x 13 x 41 x 4 = 638244048
Therefore, the lowest common multiple of 606,988,507,533,208 is 638244048.
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.
606 x 988 x 507 x 533 x 208 = 33653332162944
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
507 : 1, 3, 13, 39, 169, 507
533 : 1, 13, 41, 533
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,988,507,533,208, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
988:2x 2x 13x 19
507:3x 13x 13
533:13x 41
208:2x 2x 2x 2x 13
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 13x 13x 13 = 52728
Therefore, the value for common factors is 52728.
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 = 33653332162944/(1x52728)
LCM = 33653332162944/52728
LCM = 638244048
Thus, we can understand that the LCM of 606,988,507,533,208 is 638244048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 606, 988, 507, 533, 208
1. What is the LCM of 606, 988, 507, 533, 208?
Answer: LCM of 606, 988, 507, 533, 208 is 638244048.
2. How to calculate the LCM of 606, 988, 507, 533, 208?
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 606, 988, 507, 533, 208.
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}.