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LCM of 428, 469, 462, 242

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


Find the LCM of 428, 469, 462, 242 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 428, 469, 462, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,469,462,242

Given numbers are 428,469,462,242

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

The LCM of 428,469,462,242 is 72865716.

Find LCM of 428,469,462,242 with Prime Factorization


2 428, 469, 462, 242
7 214, 469, 231, 121
11 214, 67, 33, 121
214, 67, 3, 11

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

2 x 7 x 11 x 214 x 67 x 3 x 11 = 72865716

Therefore, the lowest common multiple of 428,469,462,242 is 72865716.

LCM Formula to Find Lowest Common Multiple of 428,469,462,242

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.

428 x 469 x 462 x 242 = 22442640528

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.

428 : 1, 2, 4, 107, 214, 428

469 : 1, 7, 67, 469

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,469,462,242, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

469:7x 67

462:2x 3x 7x 11

242:2x 11x 11

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 22442640528/(1x308)

LCM = 22442640528/308

LCM = 72865716

Thus, we can understand that the LCM of 428,469,462,242 is 72865716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 469, 462, 242

1. What is the LCM of 428, 469, 462, 242?

Answer: LCM of 428, 469, 462, 242 is 72865716.

2. How to calculate the LCM of 428, 469, 462, 242?

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 428, 469, 462, 242.

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}.