LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 243, 548, 966, 750

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


Find the LCM of 243, 548, 966, 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 243, 548, 966, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,548,966,750

Given numbers are 243,548,966,750

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

The LCM of 243,548,966,750 is 2679925500.

Find LCM of 243,548,966,750 with Prime Factorization


2 243, 548, 966, 750
3 243, 274, 483, 375
81, 274, 161, 125

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

2 x 3 x 81 x 274 x 161 x 125 = 2679925500

Therefore, the lowest common multiple of 243,548,966,750 is 2679925500.

LCM Formula to Find Lowest Common Multiple of 243,548,966,750

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.

243 x 548 x 966 x 750 = 96477318000

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.

243 : 1, 3, 9, 27, 81, 243

548 : 1, 2, 4, 137, 274, 548

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 243,548,966,750, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

548:2x 2x 137

966:2x 3x 7x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 96477318000/(1x36)

LCM = 96477318000/36

LCM = 2679925500

Thus, we can understand that the LCM of 243,548,966,750 is 2679925500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 548, 966, 750

1. What is the LCM of 243, 548, 966, 750?

Answer: LCM of 243, 548, 966, 750 is 2679925500.

2. How to calculate the LCM of 243, 548, 966, 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 243, 548, 966, 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}.