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LCM of 209, 628, 790, 969

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


Find the LCM of 209, 628, 790, 969 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, 628, 790, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,628,790,969

Given numbers are 209,628,790,969

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

The LCM of 209,628,790,969 is 2644071540.

Find LCM of 209,628,790,969 with Prime Factorization


2 209, 628, 790, 969
19 209, 314, 395, 969
11, 314, 395, 51

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

2 x 19 x 11 x 314 x 395 x 51 = 2644071540

Therefore, the lowest common multiple of 209,628,790,969 is 2644071540.

LCM Formula to Find Lowest Common Multiple of 209,628,790,969

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 628 x 790 x 969 = 100474718520

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

628 : 1, 2, 4, 157, 314, 628

790 : 1, 2, 5, 10, 79, 158, 395, 790

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,628,790,969, is 1.

Now, the common factors can be found like this.

209:11x 19

628:2x 2x 157

790:2x 5x 79

969:3x 17x 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 19 = 38

Therefore, the value for common factors is 38.

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 = 100474718520/(1x38)

LCM = 100474718520/38

LCM = 2644071540

Thus, we can understand that the LCM of 209,628,790,969 is 2644071540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 628, 790, 969

1. What is the LCM of 209, 628, 790, 969?

Answer: LCM of 209, 628, 790, 969 is 2644071540.

2. How to calculate the LCM of 209, 628, 790, 969?

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, 628, 790, 969.

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}.