LCM of 998, 499, 652, 444, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 499, 652, 444, 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 998, 499, 652, 444, 978. So, keep reading to learn more.
Given numbers are 998,499,652,444,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,499,652,444,978 is 36113628.
Find LCM of 998,499,652,444,978 with Prime Factorization
| 2 | 998, 499, 652, 444, 978 |
| 2 | 499, 499, 326, 222, 489 |
| 3 | 499, 499, 163, 111, 489 |
| 163 | 499, 499, 163, 37, 163 |
| 499 | 499, 499, 1, 37, 1 |
| 1, 1, 1, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 499 x 1 x 1 x 1 x 37 x 1 = 36113628
Therefore, the lowest common multiple of 998,499,652,444,978 is 36113628.
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.
998 x 499 x 652 x 444 x 978 = 140993959710528
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.
998 : 1, 2, 499, 998
499 : 1, 499
652 : 1, 2, 4, 163, 326, 652
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
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 998,499,652,444,978, is 1.
Now, the common factors can be found like this.
998:2x 499
499:499
652:2x 2x 163
444:2x 2x 3x 37
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 2x 3x 163x 499 = 3904176
Therefore, the value for common factors is 3904176.
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 = 140993959710528/(1x3904176)
LCM = 140993959710528/3904176
LCM = 36113628
Thus, we can understand that the LCM of 998,499,652,444,978 is 36113628.
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FAQs on LCM of 998, 499, 652, 444, 978
1. What is the LCM of 998, 499, 652, 444, 978?
Answer: LCM of 998, 499, 652, 444, 978 is 36113628.
2. How to calculate the LCM of 998, 499, 652, 444, 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 998, 499, 652, 444, 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}.