LCM of 616, 410, 540, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 410, 540, 426 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 616, 410, 540, 426. So, keep reading to learn more.
Given numbers are 616,410,540,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,410,540,426 is 242078760.
Find LCM of 616,410,540,426 with Prime Factorization
| 2 | 616, 410, 540, 426 |
| 2 | 308, 205, 270, 213 |
| 3 | 154, 205, 135, 213 |
| 5 | 154, 205, 45, 71 |
| 154, 41, 9, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 154 x 41 x 9 x 71 = 242078760
Therefore, the lowest common multiple of 616,410,540,426 is 242078760.
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.
616 x 410 x 540 x 426 = 58098902400
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
410 : 1, 2, 5, 10, 41, 82, 205, 410
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
426 : 1, 2, 3, 6, 71, 142, 213, 426
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,410,540,426, is 2.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
410:2x 5x 41
540:2x 2x 3x 3x 3x 5
426:2x 3x 71
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 5 = 120
Therefore, the value for common factors is 120.
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 = 58098902400/(2x120)
LCM = 58098902400/240
LCM = 242078760
Thus, we can understand that the LCM of 616,410,540,426 is 242078760.
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FAQs on LCM of 616, 410, 540, 426
1. What is the LCM of 616, 410, 540, 426?
Answer: LCM of 616, 410, 540, 426 is 242078760.
2. How to calculate the LCM of 616, 410, 540, 426?
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 616, 410, 540, 426.
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}.