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LCM of 724, 332, 894, 750, 723

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


Find the LCM of 724, 332, 894, 750, 723 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 724, 332, 894, 750, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,332,894,750,723

Given numbers are 724,332,894,750,723

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

The LCM of 724,332,894,750,723 is 809191360500.

Find LCM of 724,332,894,750,723 with Prime Factorization


2 724, 332, 894, 750, 723
2 362, 166, 447, 375, 723
3 181, 83, 447, 375, 723
181, 83, 149, 125, 241

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

2 x 2 x 3 x 181 x 83 x 149 x 125 x 241 = 809191360500

Therefore, the lowest common multiple of 724,332,894,750,723 is 809191360500.

LCM Formula to Find Lowest Common Multiple of 724,332,894,750,723

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.

724 x 332 x 894 x 750 x 723 = 116523555912000

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.

724 : 1, 2, 4, 181, 362, 724

332 : 1, 2, 4, 83, 166, 332

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,332,894,750,723, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

332:2x 2x 83

894:2x 3x 149

750:2x 3x 5x 5x 5

723:3x 241

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 116523555912000/(1x144)

LCM = 116523555912000/144

LCM = 809191360500

Thus, we can understand that the LCM of 724,332,894,750,723 is 809191360500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 332, 894, 750, 723

1. What is the LCM of 724, 332, 894, 750, 723?

Answer: LCM of 724, 332, 894, 750, 723 is 809191360500.

2. How to calculate the LCM of 724, 332, 894, 750, 723?

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 724, 332, 894, 750, 723.

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}.