LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 331, 549, 596, 596

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


Find the LCM of 331, 549, 596, 596 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 331, 549, 596, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,549,596,596

Given numbers are 331,549,596,596

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

The LCM of 331,549,596,596 is 108304524.

Find LCM of 331,549,596,596 with Prime Factorization


2 331, 549, 596, 596
2 331, 549, 298, 298
149 331, 549, 149, 149
331, 549, 1, 1

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

2 x 2 x 149 x 331 x 549 x 1 x 1 = 108304524

Therefore, the lowest common multiple of 331,549,596,596 is 108304524.

LCM Formula to Find Lowest Common Multiple of 331,549,596,596

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.

331 x 549 x 596 x 596 = 64549496304

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.

331 : 1, 331

549 : 1, 3, 9, 61, 183, 549

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,549,596,596, is 1.

Now, the common factors can be found like this.

331:331

549:3x 3x 61

596:2x 2x 149

596:2x 2x 149

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 149 = 596

Therefore, the value for common factors is 596.

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 = 64549496304/(1x596)

LCM = 64549496304/596

LCM = 108304524

Thus, we can understand that the LCM of 331,549,596,596 is 108304524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 549, 596, 596

1. What is the LCM of 331, 549, 596, 596?

Answer: LCM of 331, 549, 596, 596 is 108304524.

2. How to calculate the LCM of 331, 549, 596, 596?

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 331, 549, 596, 596.

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}.