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LCM of 303, 291, 274, 506

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


Find the LCM of 303, 291, 274, 506 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 303, 291, 274, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,291,274,506

Given numbers are 303,291,274,506

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

The LCM of 303,291,274,506 is 2037442902.

Find LCM of 303,291,274,506 with Prime Factorization


2 303, 291, 274, 506
3 303, 291, 137, 253
101, 97, 137, 253

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

2 x 3 x 101 x 97 x 137 x 253 = 2037442902

Therefore, the lowest common multiple of 303,291,274,506 is 2037442902.

LCM Formula to Find Lowest Common Multiple of 303,291,274,506

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.

303 x 291 x 274 x 506 = 12224657412

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.

303 : 1, 3, 101, 303

291 : 1, 3, 97, 291

274 : 1, 2, 137, 274

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,291,274,506, is 1.

Now, the common factors can be found like this.

303:3x 101

291:3x 97

274:2x 137

506:2x 11x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 12224657412/(1x6)

LCM = 12224657412/6

LCM = 2037442902

Thus, we can understand that the LCM of 303,291,274,506 is 2037442902.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 291, 274, 506

1. What is the LCM of 303, 291, 274, 506?

Answer: LCM of 303, 291, 274, 506 is 2037442902.

2. How to calculate the LCM of 303, 291, 274, 506?

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 303, 291, 274, 506.

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}.