LCM of 538, 234, 996, 269, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 234, 996, 269, 978 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 538, 234, 996, 269, 978. So, keep reading to learn more.
Given numbers are 538,234,996,269,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,234,996,269,978 is 1703192868.
Find LCM of 538,234,996,269,978 with Prime Factorization
| 2 | 538, 234, 996, 269, 978 |
| 3 | 269, 117, 498, 269, 489 |
| 269 | 269, 39, 166, 269, 163 |
| 1, 39, 166, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 1 x 39 x 166 x 1 x 163 = 1703192868
Therefore, the lowest common multiple of 538,234,996,269,978 is 1703192868.
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.
538 x 234 x 996 x 269 x 978 = 32987439467424
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.
538 : 1, 2, 269, 538
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
269 : 1, 269
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,234,996,269,978, is 1.
Now, the common factors can be found like this.
538:2x 269
234:2x 3x 3x 13
996:2x 2x 3x 83
269:269
978:2x 3x 163
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 269 = 19368
Therefore, the value for common factors is 19368.
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 = 32987439467424/(1x19368)
LCM = 32987439467424/19368
LCM = 1703192868
Thus, we can understand that the LCM of 538,234,996,269,978 is 1703192868.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 538, 234, 996, 269, 978
1. What is the LCM of 538, 234, 996, 269, 978?
Answer: LCM of 538, 234, 996, 269, 978 is 1703192868.
2. How to calculate the LCM of 538, 234, 996, 269, 978?
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 538, 234, 996, 269, 978.
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}.