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 442, 558, 639, 912

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


Find the LCM of 442, 558, 639, 912 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 442, 558, 639, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,558,639,912

Given numbers are 442,558,639,912

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

The LCM of 442,558,639,912 is 1330847856.

Find LCM of 442,558,639,912 with Prime Factorization


2 442, 558, 639, 912
3 221, 279, 639, 456
3 221, 93, 213, 152
221, 31, 71, 152

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

2 x 3 x 3 x 221 x 31 x 71 x 152 = 1330847856

Therefore, the lowest common multiple of 442,558,639,912 is 1330847856.

LCM Formula to Find Lowest Common Multiple of 442,558,639,912

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.

442 x 558 x 639 x 912 = 143731568448

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

639 : 1, 3, 9, 71, 213, 639

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,558,639,912, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

558:2x 3x 3x 31

639:3x 3x 71

912:2x 2x 2x 2x 3x 19

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 143731568448/(1x108)

LCM = 143731568448/108

LCM = 1330847856

Thus, we can understand that the LCM of 442,558,639,912 is 1330847856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 558, 639, 912

1. What is the LCM of 442, 558, 639, 912?

Answer: LCM of 442, 558, 639, 912 is 1330847856.

2. How to calculate the LCM of 442, 558, 639, 912?

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 442, 558, 639, 912.

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}.