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LCM of 209, 114, 780, 305

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


Find the LCM of 209, 114, 780, 305 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 209, 114, 780, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,114,780,305

Given numbers are 209,114,780,305

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

The LCM of 209,114,780,305 is 9944220.

Find LCM of 209,114,780,305 with Prime Factorization


2 209, 114, 780, 305
3 209, 57, 390, 305
5 209, 19, 130, 305
19 209, 19, 26, 61
11, 1, 26, 61

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

2 x 3 x 5 x 19 x 11 x 1 x 26 x 61 = 9944220

Therefore, the lowest common multiple of 209,114,780,305 is 9944220.

LCM Formula to Find Lowest Common Multiple of 209,114,780,305

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.

209 x 114 x 780 x 305 = 5668205400

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.

209 : 1, 11, 19, 209

114 : 1, 2, 3, 6, 19, 38, 57, 114

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,114,780,305, is 1.

Now, the common factors can be found like this.

209:11x 19

114:2x 3x 19

780:2x 2x 3x 5x 13

305:5x 61

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 5x 19 = 570

Therefore, the value for common factors is 570.

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 = 5668205400/(1x570)

LCM = 5668205400/570

LCM = 9944220

Thus, we can understand that the LCM of 209,114,780,305 is 9944220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 114, 780, 305

1. What is the LCM of 209, 114, 780, 305?

Answer: LCM of 209, 114, 780, 305 is 9944220.

2. How to calculate the LCM of 209, 114, 780, 305?

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 209, 114, 780, 305.

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}.