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LCM of 749, 796, 321, 747

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


Find the LCM of 749, 796, 321, 747 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 749, 796, 321, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,796,321,747

Given numbers are 749,796,321,747

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

The LCM of 749,796,321,747 is 445364388.

Find LCM of 749,796,321,747 with Prime Factorization


3 749, 796, 321, 747
107 749, 796, 107, 249
7, 796, 1, 249

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

3 x 107 x 7 x 796 x 1 x 249 = 445364388

Therefore, the lowest common multiple of 749,796,321,747 is 445364388.

LCM Formula to Find Lowest Common Multiple of 749,796,321,747

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.

749 x 796 x 321 x 747 = 142961968548

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.

749 : 1, 7, 107, 749

796 : 1, 2, 4, 199, 398, 796

321 : 1, 3, 107, 321

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,796,321,747, is 1.

Now, the common factors can be found like this.

749:7x 107

796:2x 2x 199

321:3x 107

747:3x 3x 83

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 142961968548/(1x321)

LCM = 142961968548/321

LCM = 445364388

Thus, we can understand that the LCM of 749,796,321,747 is 445364388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 796, 321, 747

1. What is the LCM of 749, 796, 321, 747?

Answer: LCM of 749, 796, 321, 747 is 445364388.

2. How to calculate the LCM of 749, 796, 321, 747?

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 749, 796, 321, 747.

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}.