LCM of 549, 615, 498, 900, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 615, 498, 900, 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 549, 615, 498, 900, 978. So, keep reading to learn more.
Given numbers are 549,615,498,900,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,615,498,900,978 is 30452426100.
Find LCM of 549,615,498,900,978 with Prime Factorization
| 2 | 549, 615, 498, 900, 978 |
| 3 | 549, 615, 249, 450, 489 |
| 3 | 183, 205, 83, 150, 163 |
| 5 | 61, 205, 83, 50, 163 |
| 61, 41, 83, 10, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 61 x 41 x 83 x 10 x 163 = 30452426100
Therefore, the lowest common multiple of 549,615,498,900,978 is 30452426100.
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.
549 x 615 x 498 x 900 x 978 = 147998790846000
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.
549 : 1, 3, 9, 61, 183, 549
615 : 1, 3, 5, 15, 41, 123, 205, 615
498 : 1, 2, 3, 6, 83, 166, 249, 498
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
978 : 1, 2, 3, 6, 163, 326, 489, 978
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,615,498,900,978, is 3.
Now, the common factors can be found like this.
549:3x 3x 61
615:3x 5x 41
498:2x 3x 83
900:2x 2x 3x 3x 5x 5
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 147998790846000/(3x1620)
LCM = 147998790846000/4860
LCM = 30452426100
Thus, we can understand that the LCM of 549,615,498,900,978 is 30452426100.
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FAQs on LCM of 549, 615, 498, 900, 978
1. What is the LCM of 549, 615, 498, 900, 978?
Answer: LCM of 549, 615, 498, 900, 978 is 30452426100.
2. How to calculate the LCM of 549, 615, 498, 900, 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 549, 615, 498, 900, 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}.