LCM of 627, 664, 996, 708, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 664, 996, 708, 203 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 627, 664, 996, 708, 203. So, keep reading to learn more.
Given numbers are 627,664,996,708,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,664,996,708,203 is 4986360456.
Find LCM of 627,664,996,708,203 with Prime Factorization
| 2 | 627, 664, 996, 708, 203 |
| 2 | 627, 332, 498, 354, 203 |
| 3 | 627, 166, 249, 177, 203 |
| 83 | 209, 166, 83, 59, 203 |
| 209, 2, 1, 59, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 209 x 2 x 1 x 59 x 203 = 4986360456
Therefore, the lowest common multiple of 627,664,996,708,203 is 4986360456.
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.
627 x 664 x 996 x 708 x 203 = 59596980170112
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
664 : 1, 2, 4, 8, 83, 166, 332, 664
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,664,996,708,203, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
664:2x 2x 2x 83
996:2x 2x 3x 83
708:2x 2x 3x 59
203:7x 29
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 3x 83 = 11952
Therefore, the value for common factors is 11952.
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 = 59596980170112/(1x11952)
LCM = 59596980170112/11952
LCM = 4986360456
Thus, we can understand that the LCM of 627,664,996,708,203 is 4986360456.
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FAQs on LCM of 627, 664, 996, 708, 203
1. What is the LCM of 627, 664, 996, 708, 203?
Answer: LCM of 627, 664, 996, 708, 203 is 4986360456.
2. How to calculate the LCM of 627, 664, 996, 708, 203?
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 627, 664, 996, 708, 203.
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}.