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LCM of 434, 557, 469, 722

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


Find the LCM of 434, 557, 469, 722 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 434, 557, 469, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 434,557,469,722

Given numbers are 434,557,469,722

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

The LCM of 434,557,469,722 is 5846917006.

Find LCM of 434,557,469,722 with Prime Factorization


2 434, 557, 469, 722
7 217, 557, 469, 361
31, 557, 67, 361

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

2 x 7 x 31 x 557 x 67 x 361 = 5846917006

Therefore, the lowest common multiple of 434,557,469,722 is 5846917006.

LCM Formula to Find Lowest Common Multiple of 434,557,469,722

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.

434 x 557 x 469 x 722 = 81856838084

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

557 : 1, 557

469 : 1, 7, 67, 469

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,557,469,722, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

557:557

469:7x 67

722:2x 19x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 81856838084/(1x14)

LCM = 81856838084/14

LCM = 5846917006

Thus, we can understand that the LCM of 434,557,469,722 is 5846917006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 434, 557, 469, 722

1. What is the LCM of 434, 557, 469, 722?

Answer: LCM of 434, 557, 469, 722 is 5846917006.

2. How to calculate the LCM of 434, 557, 469, 722?

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 434, 557, 469, 722.

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}.