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LCM of 983, 596, 506, 231

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


Find the LCM of 983, 596, 506, 231 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 983, 596, 506, 231. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 983,596,506,231

Given numbers are 983,596,506,231

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

The LCM of 983,596,506,231 is 3112716684.

Find LCM of 983,596,506,231 with Prime Factorization


2 983, 596, 506, 231
11 983, 298, 253, 231
983, 298, 23, 21

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

2 x 11 x 983 x 298 x 23 x 21 = 3112716684

Therefore, the lowest common multiple of 983,596,506,231 is 3112716684.

LCM Formula to Find Lowest Common Multiple of 983,596,506,231

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.

983 x 596 x 506 x 231 = 68479767048

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.

983 : 1, 983

596 : 1, 2, 4, 149, 298, 596

506 : 1, 2, 11, 22, 23, 46, 253, 506

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,596,506,231, is 1.

Now, the common factors can be found like this.

983:983

596:2x 2x 149

506:2x 11x 23

231:3x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 68479767048/(1x22)

LCM = 68479767048/22

LCM = 3112716684

Thus, we can understand that the LCM of 983,596,506,231 is 3112716684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 983, 596, 506, 231

1. What is the LCM of 983, 596, 506, 231?

Answer: LCM of 983, 596, 506, 231 is 3112716684.

2. How to calculate the LCM of 983, 596, 506, 231?

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 983, 596, 506, 231.

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}.