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LCM of 303, 878, 798, 209

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


Find the LCM of 303, 878, 798, 209 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, 878, 798, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,878,798,209

Given numbers are 303,878,798,209

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

The LCM of 303,878,798,209 is 389207742.

Find LCM of 303,878,798,209 with Prime Factorization


2 303, 878, 798, 209
3 303, 439, 399, 209
19 101, 439, 133, 209
101, 439, 7, 11

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

2 x 3 x 19 x 101 x 439 x 7 x 11 = 389207742

Therefore, the lowest common multiple of 303,878,798,209 is 389207742.

LCM Formula to Find Lowest Common Multiple of 303,878,798,209

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 878 x 798 x 209 = 44369682588

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

878 : 1, 2, 439, 878

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,878,798,209, is 1.

Now, the common factors can be found like this.

303:3x 101

878:2x 439

798:2x 3x 7x 19

209:11x 19

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 44369682588/(1x114)

LCM = 44369682588/114

LCM = 389207742

Thus, we can understand that the LCM of 303,878,798,209 is 389207742.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 878, 798, 209

1. What is the LCM of 303, 878, 798, 209?

Answer: LCM of 303, 878, 798, 209 is 389207742.

2. How to calculate the LCM of 303, 878, 798, 209?

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, 878, 798, 209.

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}.