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LCM of 673, 114, 793, 688

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


Find the LCM of 673, 114, 793, 688 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 673, 114, 793, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 673,114,793,688

Given numbers are 673,114,793,688

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

The LCM of 673,114,793,688 is 20929147824.

Find LCM of 673,114,793,688 with Prime Factorization


2 673, 114, 793, 688
673, 57, 793, 344

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

2 x 673 x 57 x 793 x 344 = 20929147824

Therefore, the lowest common multiple of 673,114,793,688 is 20929147824.

LCM Formula to Find Lowest Common Multiple of 673,114,793,688

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.

673 x 114 x 793 x 688 = 41858295648

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.

673 : 1, 673

114 : 1, 2, 3, 6, 19, 38, 57, 114

793 : 1, 13, 61, 793

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,114,793,688, is 1.

Now, the common factors can be found like this.

673:673

114:2x 3x 19

793:13x 61

688:2x 2x 2x 2x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 41858295648/(1x2)

LCM = 41858295648/2

LCM = 20929147824

Thus, we can understand that the LCM of 673,114,793,688 is 20929147824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 673, 114, 793, 688

1. What is the LCM of 673, 114, 793, 688?

Answer: LCM of 673, 114, 793, 688 is 20929147824.

2. How to calculate the LCM of 673, 114, 793, 688?

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 673, 114, 793, 688.

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}.