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LCM of 122, 720, 873, 750

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


Find the LCM of 122, 720, 873, 750 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 122, 720, 873, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 122,720,873,750

Given numbers are 122,720,873,750

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

The LCM of 122,720,873,750 is 106506000.

Find LCM of 122,720,873,750 with Prime Factorization


2 122, 720, 873, 750
3 61, 360, 873, 375
3 61, 120, 291, 125
5 61, 40, 97, 125
61, 8, 97, 25

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

2 x 3 x 3 x 5 x 61 x 8 x 97 x 25 = 106506000

Therefore, the lowest common multiple of 122,720,873,750 is 106506000.

LCM Formula to Find Lowest Common Multiple of 122,720,873,750

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.

122 x 720 x 873 x 750 = 57513240000

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.

122 : 1, 2, 61, 122

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

873 : 1, 3, 9, 97, 291, 873

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,720,873,750, is 1.

Now, the common factors can be found like this.

122:2x 61

720:2x 2x 2x 2x 3x 3x 5

873:3x 3x 97

750:2x 3x 5x 5x 5

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 57513240000/(1x540)

LCM = 57513240000/540

LCM = 106506000

Thus, we can understand that the LCM of 122,720,873,750 is 106506000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 122, 720, 873, 750

1. What is the LCM of 122, 720, 873, 750?

Answer: LCM of 122, 720, 873, 750 is 106506000.

2. How to calculate the LCM of 122, 720, 873, 750?

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 122, 720, 873, 750.

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}.