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LCM of 303, 406, 390, 598, 804

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


Find the LCM of 303, 406, 390, 598, 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 303, 406, 390, 598, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,406,390,598,804

Given numbers are 303,406,390,598,804

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

The LCM of 303,406,390,598,804 is 24644195940.

Find LCM of 303,406,390,598,804 with Prime Factorization


2 303, 406, 390, 598, 804
3 303, 203, 195, 299, 402
13 101, 203, 65, 299, 134
101, 203, 5, 23, 134

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

2 x 3 x 13 x 101 x 203 x 5 x 23 x 134 = 24644195940

Therefore, the lowest common multiple of 303,406,390,598,804 is 24644195940.

LCM Formula to Find Lowest Common Multiple of 303,406,390,598,804

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.

303 x 406 x 390 x 598 x 804 = 23066967399840

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

598 : 1, 2, 13, 23, 26, 46, 299, 598

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 303,406,390,598,804, is 1.

Now, the common factors can be found like this.

303:3x 101

406:2x 7x 29

390:2x 3x 5x 13

598:2x 13x 23

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 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 23066967399840/(1x936)

LCM = 23066967399840/936

LCM = 24644195940

Thus, we can understand that the LCM of 303,406,390,598,804 is 24644195940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 406, 390, 598, 804

1. What is the LCM of 303, 406, 390, 598, 804?

Answer: LCM of 303, 406, 390, 598, 804 is 24644195940.

2. How to calculate the LCM of 303, 406, 390, 598, 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 303, 406, 390, 598, 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}.