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LCM of 793, 789, 732, 672

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


Find the LCM of 793, 789, 732, 672 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 793, 789, 732, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,789,732,672

Given numbers are 793,789,732,672

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

The LCM of 793,789,732,672 is 140151648.

Find LCM of 793,789,732,672 with Prime Factorization


2 793, 789, 732, 672
2 793, 789, 366, 336
3 793, 789, 183, 168
61 793, 263, 61, 56
13, 263, 1, 56

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

2 x 2 x 3 x 61 x 13 x 263 x 1 x 56 = 140151648

Therefore, the lowest common multiple of 793,789,732,672 is 140151648.

LCM Formula to Find Lowest Common Multiple of 793,789,732,672

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.

793 x 789 x 732 x 672 = 307773019008

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.

793 : 1, 13, 61, 793

789 : 1, 3, 263, 789

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,789,732,672, is 1.

Now, the common factors can be found like this.

793:13x 61

789:3x 263

732:2x 2x 3x 61

672:2x 2x 2x 2x 2x 3x 7

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 3x 3x 61 = 2196

Therefore, the value for common factors is 2196.

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 = 307773019008/(1x2196)

LCM = 307773019008/2196

LCM = 140151648

Thus, we can understand that the LCM of 793,789,732,672 is 140151648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 789, 732, 672

1. What is the LCM of 793, 789, 732, 672?

Answer: LCM of 793, 789, 732, 672 is 140151648.

2. How to calculate the LCM of 793, 789, 732, 672?

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 793, 789, 732, 672.

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}.