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 112, 349, 589, 436

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


Find the LCM of 112, 349, 589, 436 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 112, 349, 589, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 112,349,589,436

Given numbers are 112,349,589,436

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

The LCM of 112,349,589,436 is 2509488688.

Find LCM of 112,349,589,436 with Prime Factorization


2 112, 349, 589, 436
2 56, 349, 589, 218
28, 349, 589, 109

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

2 x 2 x 28 x 349 x 589 x 109 = 2509488688

Therefore, the lowest common multiple of 112,349,589,436 is 2509488688.

LCM Formula to Find Lowest Common Multiple of 112,349,589,436

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.

112 x 349 x 589 x 436 = 10037954752

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

349 : 1, 349

589 : 1, 19, 31, 589

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,349,589,436, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

349:349

589:19x 31

436:2x 2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10037954752/(1x4)

LCM = 10037954752/4

LCM = 2509488688

Thus, we can understand that the LCM of 112,349,589,436 is 2509488688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 112, 349, 589, 436

1. What is the LCM of 112, 349, 589, 436?

Answer: LCM of 112, 349, 589, 436 is 2509488688.

2. How to calculate the LCM of 112, 349, 589, 436?

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 112, 349, 589, 436.

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}.