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LCM of 537, 394, 163, 326, 476

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


Find the LCM of 537, 394, 163, 326, 476 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 537, 394, 163, 326, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,394,163,326,476

Given numbers are 537,394,163,326,476

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

The LCM of 537,394,163,326,476 is 8207956932.

Find LCM of 537,394,163,326,476 with Prime Factorization


2 537, 394, 163, 326, 476
163 537, 197, 163, 163, 238
537, 197, 1, 1, 238

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

2 x 163 x 537 x 197 x 1 x 1 x 238 = 8207956932

Therefore, the lowest common multiple of 537,394,163,326,476 is 8207956932.

LCM Formula to Find Lowest Common Multiple of 537,394,163,326,476

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.

537 x 394 x 163 x 326 x 476 = 5351587919664

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.

537 : 1, 3, 179, 537

394 : 1, 2, 197, 394

163 : 1, 163

326 : 1, 2, 163, 326

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,394,163,326,476, is 1.

Now, the common factors can be found like this.

537:3x 179

394:2x 197

163:163

326:2x 163

476:2x 2x 7x 17

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 163 = 652

Therefore, the value for common factors is 652.

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 = 5351587919664/(1x652)

LCM = 5351587919664/652

LCM = 8207956932

Thus, we can understand that the LCM of 537,394,163,326,476 is 8207956932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 394, 163, 326, 476

1. What is the LCM of 537, 394, 163, 326, 476?

Answer: LCM of 537, 394, 163, 326, 476 is 8207956932.

2. How to calculate the LCM of 537, 394, 163, 326, 476?

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 537, 394, 163, 326, 476.

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}.