LCM of 540, 398, 420, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 398, 420, 616 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 540, 398, 420, 616. So, keep reading to learn more.
Given numbers are 540,398,420,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,398,420,616 is 16548840.
Find LCM of 540,398,420,616 with Prime Factorization
| 2 | 540, 398, 420, 616 |
| 2 | 270, 199, 210, 308 |
| 3 | 135, 199, 105, 154 |
| 5 | 45, 199, 35, 154 |
| 7 | 9, 199, 7, 154 |
| 9, 199, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 9 x 199 x 1 x 22 = 16548840
Therefore, the lowest common multiple of 540,398,420,616 is 16548840.
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.
540 x 398 x 420 x 616 = 55604102400
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
398 : 1, 2, 199, 398
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,398,420,616, is 2.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
398:2x 199
420:2x 2x 3x 5x 7
616:2x 2x 2x 7x 11
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 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 55604102400/(2x1680)
LCM = 55604102400/3360
LCM = 16548840
Thus, we can understand that the LCM of 540,398,420,616 is 16548840.
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FAQs on LCM of 540, 398, 420, 616
1. What is the LCM of 540, 398, 420, 616?
Answer: LCM of 540, 398, 420, 616 is 16548840.
2. How to calculate the LCM of 540, 398, 420, 616?
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 540, 398, 420, 616.
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}.