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LCM of 750, 923, 923, 636

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


Find the LCM of 750, 923, 923, 636 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, 923, 923, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,923,923,636

Given numbers are 750,923,923,636

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

The LCM of 750,923,923,636 is 73378500.

Find LCM of 750,923,923,636 with Prime Factorization


2 750, 923, 923, 636
3 375, 923, 923, 318
13 125, 923, 923, 106
71 125, 71, 71, 106
125, 1, 1, 106

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

2 x 3 x 13 x 71 x 125 x 1 x 1 x 106 = 73378500

Therefore, the lowest common multiple of 750,923,923,636 is 73378500.

LCM Formula to Find Lowest Common Multiple of 750,923,923,636

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 923 x 923 x 636 = 406370133000

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

923 : 1, 13, 71, 923

923 : 1, 13, 71, 923

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,923,923,636, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

923:13x 71

923:13x 71

636:2x 2x 3x 53

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

2x 3x 13x 71 = 5538

Therefore, the value for common factors is 5538.

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 = 406370133000/(1x5538)

LCM = 406370133000/5538

LCM = 73378500

Thus, we can understand that the LCM of 750,923,923,636 is 73378500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 923, 923, 636

1. What is the LCM of 750, 923, 923, 636?

Answer: LCM of 750, 923, 923, 636 is 73378500.

2. How to calculate the LCM of 750, 923, 923, 636?

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, 923, 923, 636.

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}.