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LCM of 747, 793, 507, 161

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


Find the LCM of 747, 793, 507, 161 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 747, 793, 507, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,793,507,161

Given numbers are 747,793,507,161

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

The LCM of 747,793,507,161 is 1239832503.

Find LCM of 747,793,507,161 with Prime Factorization


3 747, 793, 507, 161
13 249, 793, 169, 161
249, 61, 13, 161

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

3 x 13 x 249 x 61 x 13 x 161 = 1239832503

Therefore, the lowest common multiple of 747,793,507,161 is 1239832503.

LCM Formula to Find Lowest Common Multiple of 747,793,507,161

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.

747 x 793 x 507 x 161 = 48353467617

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.

747 : 1, 3, 9, 83, 249, 747

793 : 1, 13, 61, 793

507 : 1, 3, 13, 39, 169, 507

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,793,507,161, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

793:13x 61

507:3x 13x 13

161:7x 23

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 48353467617/(1x39)

LCM = 48353467617/39

LCM = 1239832503

Thus, we can understand that the LCM of 747,793,507,161 is 1239832503.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 793, 507, 161

1. What is the LCM of 747, 793, 507, 161?

Answer: LCM of 747, 793, 507, 161 is 1239832503.

2. How to calculate the LCM of 747, 793, 507, 161?

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 747, 793, 507, 161.

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}.