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LCM of 241, 488, 366, 804

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


Find the LCM of 241, 488, 366, 804 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 241, 488, 366, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,488,366,804

Given numbers are 241,488,366,804

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

The LCM of 241,488,366,804 is 23639208.

Find LCM of 241,488,366,804 with Prime Factorization


2 241, 488, 366, 804
2 241, 244, 183, 402
3 241, 122, 183, 201
61 241, 122, 61, 67
241, 2, 1, 67

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

2 x 2 x 3 x 61 x 241 x 2 x 1 x 67 = 23639208

Therefore, the lowest common multiple of 241,488,366,804 is 23639208.

LCM Formula to Find Lowest Common Multiple of 241,488,366,804

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.

241 x 488 x 366 x 804 = 34607800512

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.

241 : 1, 241

488 : 1, 2, 4, 8, 61, 122, 244, 488

366 : 1, 2, 3, 6, 61, 122, 183, 366

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,488,366,804, is 1.

Now, the common factors can be found like this.

241:241

488:2x 2x 2x 61

366:2x 3x 61

804:2x 2x 3x 67

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 3x 61 = 1464

Therefore, the value for common factors is 1464.

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 = 34607800512/(1x1464)

LCM = 34607800512/1464

LCM = 23639208

Thus, we can understand that the LCM of 241,488,366,804 is 23639208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 488, 366, 804

1. What is the LCM of 241, 488, 366, 804?

Answer: LCM of 241, 488, 366, 804 is 23639208.

2. How to calculate the LCM of 241, 488, 366, 804?

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 241, 488, 366, 804.

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}.