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LCM of 434, 731, 774, 698

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


Find the LCM of 434, 731, 774, 698 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, 731, 774, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 434,731,774,698

Given numbers are 434,731,774,698

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

The LCM of 434,731,774,698 is 996494814.

Find LCM of 434,731,774,698 with Prime Factorization


2 434, 731, 774, 698
43 217, 731, 387, 349
217, 17, 9, 349

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

2 x 43 x 217 x 17 x 9 x 349 = 996494814

Therefore, the lowest common multiple of 434,731,774,698 is 996494814.

LCM Formula to Find Lowest Common Multiple of 434,731,774,698

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 731 x 774 x 698 = 171397108008

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

731 : 1, 17, 43, 731

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,731,774,698, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

731:17x 43

774:2x 3x 3x 43

698:2x 349

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 43 = 172

Therefore, the value for common factors is 172.

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 = 171397108008/(1x172)

LCM = 171397108008/172

LCM = 996494814

Thus, we can understand that the LCM of 434,731,774,698 is 996494814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 434, 731, 774, 698

1. What is the LCM of 434, 731, 774, 698?

Answer: LCM of 434, 731, 774, 698 is 996494814.

2. How to calculate the LCM of 434, 731, 774, 698?

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, 731, 774, 698.

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}.