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LCM of 750, 748, 794, 926, 747

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


Find the LCM of 750, 748, 794, 926, 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 750, 748, 794, 926, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,748,794,926,747

Given numbers are 750,748,794,926,747

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

The LCM of 750,748,794,926,747 is 12838187389500.

Find LCM of 750,748,794,926,747 with Prime Factorization


2 750, 748, 794, 926, 747
3 375, 374, 397, 463, 747
125, 374, 397, 463, 249

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

2 x 3 x 125 x 374 x 397 x 463 x 249 = 12838187389500

Therefore, the lowest common multiple of 750,748,794,926,747 is 12838187389500.

LCM Formula to Find Lowest Common Multiple of 750,748,794,926,747

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.

750 x 748 x 794 x 926 x 747 = 308116497348000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

794 : 1, 2, 397, 794

926 : 1, 2, 463, 926

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 750,748,794,926,747, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

748:2x 2x 11x 17

794:2x 397

926:2x 463

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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 308116497348000/(1x24)

LCM = 308116497348000/24

LCM = 12838187389500

Thus, we can understand that the LCM of 750,748,794,926,747 is 12838187389500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 748, 794, 926, 747

1. What is the LCM of 750, 748, 794, 926, 747?

Answer: LCM of 750, 748, 794, 926, 747 is 12838187389500.

2. How to calculate the LCM of 750, 748, 794, 926, 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 750, 748, 794, 926, 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}.