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LCM of 443, 737, 286, 402

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


Find the LCM of 443, 737, 286, 402 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 443, 737, 286, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,737,286,402

Given numbers are 443,737,286,402

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

The LCM of 443,737,286,402 is 25466298.

Find LCM of 443,737,286,402 with Prime Factorization


2 443, 737, 286, 402
11 443, 737, 143, 201
67 443, 67, 13, 201
443, 1, 13, 3

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

2 x 11 x 67 x 443 x 1 x 13 x 3 = 25466298

Therefore, the lowest common multiple of 443,737,286,402 is 25466298.

LCM Formula to Find Lowest Common Multiple of 443,737,286,402

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.

443 x 737 x 286 x 402 = 37537323252

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.

443 : 1, 443

737 : 1, 11, 67, 737

286 : 1, 2, 11, 13, 22, 26, 143, 286

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,737,286,402, is 1.

Now, the common factors can be found like this.

443:443

737:11x 67

286:2x 11x 13

402:2x 3x 67

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

2x 11x 67 = 1474

Therefore, the value for common factors is 1474.

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 = 37537323252/(1x1474)

LCM = 37537323252/1474

LCM = 25466298

Thus, we can understand that the LCM of 443,737,286,402 is 25466298.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 737, 286, 402

1. What is the LCM of 443, 737, 286, 402?

Answer: LCM of 443, 737, 286, 402 is 25466298.

2. How to calculate the LCM of 443, 737, 286, 402?

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 443, 737, 286, 402.

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}.