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LCM of 614, 103, 237, 983, 820

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 614, 103, 237, 983, 820 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 614, 103, 237, 983, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,103,237,983,820

Given numbers are 614,103,237,983,820

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 614,103,237,983,820 is 6040756312620.

Find LCM of 614,103,237,983,820 with Prime Factorization


2 614, 103, 237, 983, 820
307, 103, 237, 983, 410

Multiply the prime numbers at the bottom and the left side.

2 x 307 x 103 x 237 x 983 x 410 = 6040756312620

Therefore, the lowest common multiple of 614,103,237,983,820 is 6040756312620.

LCM Formula to Find Lowest Common Multiple of 614,103,237,983,820

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.

614 x 103 x 237 x 983 x 820 = 12081512625240

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.

614 : 1, 2, 307, 614

103 : 1, 103

237 : 1, 3, 79, 237

983 : 1, 983

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,103,237,983,820, is 1.

Now, the common factors can be found like this.

614:2x 307

103:103

237:3x 79

983:983

820:2x 2x 5x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 12081512625240/(1x2)

LCM = 12081512625240/2

LCM = 6040756312620

Thus, we can understand that the LCM of 614,103,237,983,820 is 6040756312620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 103, 237, 983, 820

1. What is the LCM of 614, 103, 237, 983, 820?

Answer: LCM of 614, 103, 237, 983, 820 is 6040756312620.

2. How to calculate the LCM of 614, 103, 237, 983, 820?

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 614, 103, 237, 983, 820.

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}.