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LCM of 801, 439, 738, 623, 134

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


Find the LCM of 801, 439, 738, 623, 134 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 801, 439, 738, 623, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,439,738,623,134

Given numbers are 801,439,738,623,134

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

The LCM of 801,439,738,623,134 is 13523332662.

Find LCM of 801,439,738,623,134 with Prime Factorization


2 801, 439, 738, 623, 134
3 801, 439, 369, 623, 67
3 267, 439, 123, 623, 67
89 89, 439, 41, 623, 67
1, 439, 41, 7, 67

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

2 x 3 x 3 x 89 x 1 x 439 x 41 x 7 x 67 = 13523332662

Therefore, the lowest common multiple of 801,439,738,623,134 is 13523332662.

LCM Formula to Find Lowest Common Multiple of 801,439,738,623,134

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.

801 x 439 x 738 x 623 x 134 = 21664378924524

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.

801 : 1, 3, 9, 89, 267, 801

439 : 1, 439

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

623 : 1, 7, 89, 623

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,439,738,623,134, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

439:439

738:2x 3x 3x 41

623:7x 89

134:2x 67

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

2x 3x 3x 89 = 1602

Therefore, the value for common factors is 1602.

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 = 21664378924524/(1x1602)

LCM = 21664378924524/1602

LCM = 13523332662

Thus, we can understand that the LCM of 801,439,738,623,134 is 13523332662.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 439, 738, 623, 134

1. What is the LCM of 801, 439, 738, 623, 134?

Answer: LCM of 801, 439, 738, 623, 134 is 13523332662.

2. How to calculate the LCM of 801, 439, 738, 623, 134?

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 801, 439, 738, 623, 134.

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}.